Cremona's table of elliptic curves

26448 = 2⁴ · 3 · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 29-	Signs for the Atkin-Lehner involutions
Class	26448m	Isogeny class
Conductor	26448	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1251439804416 = -1 · 221 · 3 · 193 · 29	Discriminant
Eigenvalues	2- 3+ -3 -2  3 -7 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-90952,10588144]	[a1,a2,a3,a4,a6]
Generators	[180:128:1]	Generators of the group modulo torsion
j	-20314460803806793/305527296	j-invariant
L	2.2847993856817	L(r)(E,1)/r!
Ω	0.78811852556218	Real period
R	0.72476388752946	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	3306f2 105792bv2 79344bh2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26448m2

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
-	+	-3	-2	3	-7	-6	+	3	-	-2	8	0	-8	-12	6	-15	14	10	12	8	-8	12	6	-1

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Quadratic twists for elliptic curve 26448m2

-4	8	-3
3306f2	105792bv2	79344bh2

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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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