Cremona's table of elliptic curves

2368 = 2⁶ · 37

Field	Data	Notes
Atkin-Lehner	2+ 37+	Signs for the Atkin-Lehner involutions
Class	2368c	Isogeny class
Conductor	2368	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	2368 = 26 · 37	Discriminant
Eigenvalues	2+ -1  0 -1 -3  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13,23]	[a1,a2,a3,a4,a6]
Generators	[2:1:1]	Generators of the group modulo torsion
j	4096000/37	j-invariant
L	2.5734679690625	L(r)(E,1)/r!
Ω	4.6182059988634	Real period
R	0.55724408345921	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	2368j1 37b3 21312k1 59200x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2368c1

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	-3	4	6	-2	6	6	-4	+	-9	-8	3	3	-12	-8	4	-15	11	-10	-9	6	8

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Quadratic twists for elliptic curve 2368c1

-4	8	-3	5	-7	37
2368j1	37b3	21312k1	59200x1	116032a1	87616j1

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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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