Cremona's table of elliptic curves

2368 = 2⁶ · 37

Field	Data	Notes
Atkin-Lehner	2- 37-	Signs for the Atkin-Lehner involutions
Class	2368p	Isogeny class
Conductor	2368	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	3241792 = 26 · 373	Discriminant
Eigenvalues	2-  3 -4  3 -3 -6 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-262,-1630]	[a1,a2,a3,a4,a6]
Generators	[-249:37:27]	Generators of the group modulo torsion
j	31077609984/50653	j-invariant
L	4.186645884522	L(r)(E,1)/r!
Ω	1.1867705121293	Real period
R	1.1759212197395	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	2368r1 1184h1 21312cm1 59200cq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2368p1

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	-4	3	-3	-6	-4	-6	-6	4	0	-	-5	6	-9	-5	-6	10	-12	9	3	12	3	-2	-6

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Quadratic twists for elliptic curve 2368p1

-4	8	-3	5	-7	37
2368r1	1184h1	21312cm1	59200cq1	116032bz1	87616bq1

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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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