Cremona's table of elliptic curves

2366 = 2 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	2366b	Isogeny class
Conductor	2366	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	6240	Modular degree for the optimal curve
Δ	-40930104656896 = -1 · 210 · 72 · 138	Discriminant
Eigenvalues	2+ -2  1 7+  2 13+  1 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,4897,278514]	[a1,a2,a3,a4,a6]
Generators	[183:2612:1]	Generators of the group modulo torsion
j	15925559/50176	j-invariant
L	1.7476785069077	L(r)(E,1)/r!
Ω	0.45514154398279	Real period
R	0.31998809491482	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	18928ba1 75712i1 21294cc1 59150by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366b1

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
+	-2	1	+	2	+	1	-4	2	-5	6	7	-7	-2	0	-9	-6	5	10	16	-3	-10	14	-6	2

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Quadratic twists for elliptic curve 2366b1

-4	8	-3	5	-7	13
18928ba1	75712i1	21294cc1	59150by1	16562n1	2366p1

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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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