Cremona's table of elliptic curves

5964 = 2² · 3 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 71-	Signs for the Atkin-Lehner involutions
Class	5964a	Isogeny class
Conductor	5964	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	696	Modular degree for the optimal curve
Δ	-23856 = -1 · 24 · 3 · 7 · 71	Discriminant
Eigenvalues	2- 3+  1 7+ -3 -3  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-145,-626]	[a1,a2,a3,a4,a6]
Generators	[126:1402:1]	Generators of the group modulo torsion
j	-21217755136/1491	j-invariant
L	3.360212688751	L(r)(E,1)/r!
Ω	0.68750588389832	Real period
R	4.8875402632162	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	23856bb1 95424u1 17892c1 41748q1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5964a1

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	+	-3	-3	6	-2	4	-2	5	7	-4	7	-6	-9	0	7	2	-	4	-11	-9	3	-10

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Quadratic twists for elliptic curve 5964a1

-4	8	-3	-7
23856bb1	95424u1	17892c1	41748q1

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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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