Cremona's table of elliptic curves

371 = 7 · 53

Field	Data	Notes
Atkin-Lehner	7- 53+	Signs for the Atkin-Lehner involutions
Class	371b	Isogeny class
Conductor	371	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	60	Modular degree for the optimal curve
Δ	-18179 = -1 · 73 · 53	Discriminant
Eigenvalues	2  0  3 7-  3 -6  6 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-31,-67]	[a1,a2,a3,a4,a6]
j	-3294646272/18179	j-invariant
L	3.0339408564336	L(r)(E,1)/r!
Ω	1.0113136188112	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5936i1 23744p1 3339g1 9275a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 371b1

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	0	3	-	3	-6	6	-5	4	5	-11	5	-9	4	4	+	-2	1	-12	4	-10	-10	5	16	10

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Quadratic twists for elliptic curve 371b1

-4	8	-3	5	-7	-11	13	17	53
5936i1	23744p1	3339g1	9275a1	2597e1	44891d1	62699d1	107219c1	19663b1

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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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