Cremona's table of elliptic curves

2760 = 2³ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	2760h	Isogeny class
Conductor	2760	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-158411933280000 = -1 · 28 · 316 · 54 · 23	Discriminant
Eigenvalues	2- 3- 5+  0  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3956,-614400]	[a1,a2,a3,a4,a6]
Generators	[112:600:1]	Generators of the group modulo torsion
j	-26752376766544/618796614375	j-invariant
L	3.6347571319638	L(r)(E,1)/r!
Ω	0.24906187319236	Real period
R	1.8242239796557	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	5520a1 22080m1 8280k1 13800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760h1

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	-6	0	+	6	0	-6	-6	0	-8	-6	-12	10	0	0	-6	8	0	10	-6

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Quadratic twists for elliptic curve 2760h1

-4	8	-3	5	-23
5520a1	22080m1	8280k1	13800c1	63480t1

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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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