Cremona's table of elliptic curves

91 = 7 · 13

Field	Data	Notes
Atkin-Lehner	7- 13-	Signs for the Atkin-Lehner involutions
Class	91b	Isogeny class
Conductor	91	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-753571 = -1 · 73 · 133	Discriminant
Eigenvalues	0 -2 -3 7-  0 13- -6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,13,42]	[a1,a2,a3,a4,a6]
Generators	[-2:3:1]	Generators of the group modulo torsion
j	224755712/753571	j-invariant
L	0.71081130382563	L(r)(E,1)/r!
Ω	2.0131638454948	Real period
R	0.35308169546972	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	1456h2 5824j2 819e2 2275a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 91b2

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
0	-2	-3	-	0	-	-6	-7	3	-9	5	2	-6	-1	3	-9	0	-10	14	-6	11	-1	3	15	-1

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Quadratic twists for elliptic curve 91b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
1456h2	5824j2	819e2	2275a2	637b2	11011c2	1183a2	26299c2	32851k2	48139h2	76531b2	87451d2	124579b2

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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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