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
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,-7493,-247169]	[a1,a2,a3,a4,a6]
Generators	[-604026:31:12167]	Generators of the group modulo torsion
j	727057727488000/37	j-invariant
L	2.5734679690625	L(r)(E,1)/r!
Ω	0.51313399987371	Real period
R	5.0151967511329	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	2368j3 37b2 21312k3 59200x3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2368c3

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 2368c3

-4	8	-3	5	-7	37
2368j3	37b2	21312k3	59200x3	116032a3	87616j3

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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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