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	5880g	Isogeny class
Conductor	5880	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	97582786560 = 211 · 34 · 5 · 76	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10600,423340]	[a1,a2,a3,a4,a6]
Generators	[257:3822:1]	Generators of the group modulo torsion
j	546718898/405	j-invariant
L	3.7433519633721	L(r)(E,1)/r!
Ω	1.0570370538071	Real period
R	3.5413630486175	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	11760bf3 47040ci4 17640ca3 29400eb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880g4

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
+	+	-	-	0	6	2	-4	-8	-6	0	-6	-10	-4	-8	10	0	-6	-4	0	14	16	-12	-2	-2

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Quadratic twists for elliptic curve 5880g4

-4	8	-3	5	-7
11760bf3	47040ci4	17640ca3	29400eb4	120b3

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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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