Cremona's table of elliptic curves

5929 = 7² · 11²

Field	Data	Notes
Atkin-Lehner	7- 11-	Signs for the Atkin-Lehner involutions
Class	5929f	Isogeny class
Conductor	5929	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2160	Modular degree for the optimal curve
Δ	-14235529 = -1 · 76 · 112	Discriminant
Eigenvalues	-1 -2 -1 7- 11-  1 -5  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1471,21594]	[a1,a2,a3,a4,a6]
Generators	[25:12:1]	Generators of the group modulo torsion
j	-24729001	j-invariant
L	1.4027553878678	L(r)(E,1)/r!
Ω	2.0886382343237	Real period
R	0.33580621210882	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	94864cq1 53361bh1 121a1 5929d2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 5929f1

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
-1	-2	-1	-	-	1	-5	6	2	-9	2	-3	-5	0	-2	9	-8	6	2	12	-2	10	6	9	13

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Quadratic twists for elliptic curve 5929f1

-4	-3	-7	-11
94864cq1	53361bh1	121a1	5929d2

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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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