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	366f	Isogeny class
Conductor	366	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-177876 = -1 · 22 · 36 · 61	Discriminant
Eigenvalues	2+ 3- -3 -1 -3 -1 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5,20]	[a1,a2,a3,a4,a6]
Generators	[-3:4:1]	Generators of the group modulo torsion
j	-10218313/177876	j-invariant
L	1.3650563331307	L(r)(E,1)/r!
Ω	2.7041672516108	Real period
R	0.37859797660009	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	2928k1 11712e1 1098l1 9150s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 366f1

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	-1	-3	-1	-6	-4	3	0	-4	8	-9	-4	-6	12	3	-	5	0	-7	5	6	12	-10

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Quadratic twists for elliptic curve 366f1

-4	8	-3	5	-7	-11	13	17	61
2928k1	11712e1	1098l1	9150s1	17934b1	44286bl1	61854r1	105774a1	22326k1

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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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