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	5880bc	Isogeny class
Conductor	5880	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	24206629991040000 = 210 · 38 · 54 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-84296,5690880]	[a1,a2,a3,a4,a6]
j	549871953124/200930625	j-invariant
L	2.7721675736298	L(r)(E,1)/r!
Ω	0.34652094670372	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11760f3 47040br4 17640bg3 29400o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880bc3

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

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Quadratic twists for elliptic curve 5880bc3

-4	8	-3	5	-7
11760f3	47040br4	17640bg3	29400o4	840g3

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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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