Cremona's table of elliptic curves

2368 = 2⁶ · 37

Field	Data	Notes
Atkin-Lehner	2- 37-	Signs for the Atkin-Lehner involutions
Class	2368n	Isogeny class
Conductor	2368	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	2368 = 26 · 37	Discriminant
Eigenvalues	2- -1  0 -1  1  2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3,1]	[a1,a2,a3,a4,a6]
Generators	[0:1:1]	Generators of the group modulo torsion
j	64000/37	j-invariant
L	2.6056059897249	L(r)(E,1)/r!
Ω	3.8651540266293	Real period
R	0.67412733665291	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	2368m1 1184b1 21312ca1 59200by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2368n1

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
-	-1	0	-1	1	2	-4	6	2	0	8	-	-5	-10	-13	-5	-2	6	-4	13	-5	4	-1	-14	-2

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Quadratic twists for elliptic curve 2368n1

-4	8	-3	5	-7	37
2368m1	1184b1	21312ca1	59200by1	116032bj1	87616bc1

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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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