Cremona's table of elliptic curves

26400 = 2⁵ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	26400bs	Isogeny class
Conductor	26400	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	126498240000000 = 212 · 33 · 57 · 114	Discriminant
Eigenvalues	2- 3- 5+  0 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-22033,-1143937]	[a1,a2,a3,a4,a6]
Generators	[-97:300:1]	Generators of the group modulo torsion
j	18483505984/1976535	j-invariant
L	6.8609616859203	L(r)(E,1)/r!
Ω	0.39457218374087	Real period
R	0.72451484255604	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26400bh3 52800eq1 79200bj3 5280a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400bs3

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
-	-	+	0	+	2	2	4	-4	6	-8	-2	-10	-4	4	-10	4	-2	-4	16	2	4	-16	-14	6

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Quadratic twists for elliptic curve 26400bs3

-4	8	-3	5
26400bh3	52800eq1	79200bj3	5280a2

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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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