Cremona's table of elliptic curves

5880 = 2³ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	5880bj	Isogeny class
Conductor	5880	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-5336558640 = -1 · 24 · 34 · 5 · 77	Discriminant
Eigenvalues	2- 3- 5- 7- -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,425,-862]	[a1,a2,a3,a4,a6]
Generators	[83:783:1]	Generators of the group modulo torsion
j	4499456/2835	j-invariant
L	4.8385354107657	L(r)(E,1)/r!
Ω	0.78089624331882	Real period
R	3.0980654934399	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11760p1 47040l1 17640s1 29400q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880bj1

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
-	-	-	-	-4	-2	2	0	-4	-2	4	-10	-6	-4	8	-6	12	-6	-12	0	-6	0	12	-6	10

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Quadratic twists for elliptic curve 5880bj1

-4	8	-3	5	-7
11760p1	47040l1	17640s1	29400q1	840e1

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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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