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	5160h	Isogeny class
Conductor	5160	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	825600 = 28 · 3 · 52 · 43	Discriminant
Eigenvalues	2- 3+ 5+  0 -6  2 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-36,-60]	[a1,a2,a3,a4,a6]
Generators	[-4:2:1]	Generators of the group modulo torsion
j	20720464/3225	j-invariant
L	2.8680231551868	L(r)(E,1)/r!
Ω	1.9649460276001	Real period
R	0.72979692950899	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	10320g1 41280bl1 15480g1 25800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5160h1

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	2	8	6	0	8	-2	-	-8	4	-10	10	4	4	0	-8	-8	2	-18

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Quadratic twists for elliptic curve 5160h1

-4	8	-3	5
10320g1	41280bl1	15480g1	25800i1

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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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