Cremona's table of elliptic curves

366 = 2 · 3 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 61-	Signs for the Atkin-Lehner involutions
Class	366g	Isogeny class
Conductor	366	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	80	Modular degree for the optimal curve
Δ	-562176 = -1 · 210 · 32 · 61	Discriminant
Eigenvalues	2- 3+ -3 -3 -1 -5  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-32,65]	[a1,a2,a3,a4,a6]
Generators	[-3:13:1]	Generators of the group modulo torsion
j	-3630961153/562176	j-invariant
L	1.8579940284309	L(r)(E,1)/r!
Ω	2.8119685918676	Real period
R	0.033037247176307	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	2928p1 11712m1 1098f1 9150l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 366g1

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	-3	-1	-5	2	-8	5	0	-4	4	3	4	2	0	-7	-	-13	-16	9	-1	14	-4	14

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Quadratic twists for elliptic curve 366g1

-4	8	-3	5	-7	-11	13	17	61
2928p1	11712m1	1098f1	9150l1	17934w1	44286b1	61854f1	105774v1	22326d1

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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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