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	-524596891 = -1 · 79 · 13	Discriminant
Eigenvalues	0 -2 -3 7-  0 13- -6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-117,-1245]	[a1,a2,a3,a4,a6]
Generators	[15:24:1]	Generators of the group modulo torsion
j	-178643795968/524596891	j-invariant
L	0.71081130382563	L(r)(E,1)/r!
Ω	0.67105461516493	Real period
R	0.11769389848991	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	1456h3 5824j3 819e3 2275a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 91b3

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 91b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
1456h3	5824j3	819e3	2275a3	637b3	11011c3	1183a3	26299c3	32851k3	48139h3	76531b3	87451d3	124579b3

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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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