Cremona's table of elliptic curves

26928 = 2⁴ · 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 17-	Signs for the Atkin-Lehner involutions
Class	26928bx	Isogeny class
Conductor	26928	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	184320	Modular degree for the optimal curve
Δ	-32971722043392 = -1 · 212 · 316 · 11 · 17	Discriminant
Eigenvalues	2- 3-  2  3 11-  2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-537024,-151474448]	[a1,a2,a3,a4,a6]
Generators	[188068093207227582264876527:-1922915191875278426130045609:210281249404303716527407]	Generators of the group modulo torsion
j	-5736108018368512/11042163	j-invariant
L	7.3871498079349	L(r)(E,1)/r!
Ω	0.088180201132267	Real period
R	41.886669076965	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1683g1 107712eb1 8976ba1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26928bx1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	2	3	-	2	-	-2	2	-9	-8	-12	3	0	5	-11	7	-2	-3	-4	-13	-8	16	-15	16

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Quadratic twists for elliptic curve 26928bx1

-4	8	-3
1683g1	107712eb1	8976ba1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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