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	5880t	Isogeny class
Conductor	5880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-104175063989606400 = -1 · 211 · 3 · 52 · 714	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,117584,-588020]	[a1,a2,a3,a4,a6]
Generators	[6090:184085:8]	Generators of the group modulo torsion
j	746185003198/432360075	j-invariant
L	3.2884521106611	L(r)(E,1)/r!
Ω	0.19929794984916	Real period
R	8.2500901618657	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11760y6 47040do5 17640bf6 29400br5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880t6

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	-4	0	-2	-8	-2	-2	4	0	-10	12	-6	12	0	6	-8	-4	-2	14

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Quadratic twists for elliptic curve 5880t6

-4	8	-3	5	-7
11760y6	47040do5	17640bf6	29400br5	840j6

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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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