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	5880h	Isogeny class
Conductor	5880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3.6020307817391E+21	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9928200,-11686082148]	[a1,a2,a3,a4,a6]
Generators	[-436386:2382715:216]	Generators of the group modulo torsion
j	898353183174324196/29899176238575	j-invariant
L	3.4818281166518	L(r)(E,1)/r!
Ω	0.08522520426122	Real period
R	10.213610359853	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	11760bg3 47040ch4 17640cb3 29400ea4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880h3

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

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Quadratic twists for elliptic curve 5880h3

-4	8	-3	5	-7
11760bg3	47040ch4	17640cb3	29400ea4	840d3

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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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