Cremona's table of elliptic curves

2368 = 2⁶ · 37

Field	Data	Notes
Atkin-Lehner	2- 37-	Signs for the Atkin-Lehner involutions
Class	2368r	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	[1:37:1]	Generators of the group modulo torsion
j	31077609984/50653	j-invariant
L	1.1841386439681	L(r)(E,1)/r!
Ω	2.5169796681984	Real period
R	0.15682005155219	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	2368p1 1184f1 21312cn1 59200co1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2368r1

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 2368r1

-4	8	-3	5	-7	37
2368p1	1184f1	21312cn1	59200co1	116032by1	87616bs1

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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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