Cremona's table of elliptic curves

91 = 7 · 13

Field	Data	Notes
Atkin-Lehner	7+ 13+	Signs for the Atkin-Lehner involutions
Class	91a	Isogeny class
Conductor	91	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	-91 = -1 · 7 · 13	Discriminant
Eigenvalues	-2  0 -3 7+ -6 13+  4  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,1,0]	[a1,a2,a3,a4,a6]
Generators	[0:0:1]	Generators of the group modulo torsion
j	110592/91	j-invariant
L	0.55493936654418	L(r)(E,1)/r!
Ω	3.8972609370517	Real period
R	0.14239215066877	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	1456j1 5824f1 819c1 2275e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 91a1

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	+	-6	+	4	5	3	-5	-3	-4	-6	-1	7	-9	8	-10	-6	-8	-13	3	15	3	7

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Quadratic twists for elliptic curve 91a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
1456j1	5824f1	819c1	2275e1	637d1	11011r1	1183b1	26299f1	32851j1	48139m1	76531a1	87451b1	124579a1

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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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