Cremona's table of elliptic curves

5160 = 2³ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 43-	Signs for the Atkin-Lehner involutions
Class	5160n	Isogeny class
Conductor	5160	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	66564000000 = 28 · 32 · 56 · 432	Discriminant
Eigenvalues	2- 3- 5-  0  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5380,149600]	[a1,a2,a3,a4,a6]
Generators	[-10:450:1]	Generators of the group modulo torsion
j	67283921459536/260015625	j-invariant
L	4.7832885672582	L(r)(E,1)/r!
Ω	1.1057693213333	Real period
R	0.72095937717682	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	10320e2 41280a2 15480d2 25800a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5160n2

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

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Quadratic twists for elliptic curve 5160n2

-4	8	-3	5
10320e2	41280a2	15480d2	25800a2

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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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