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	2760f	Isogeny class
Conductor	2760	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	6210000 = 24 · 33 · 54 · 23	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-129375,17954352]	[a1,a2,a3,a4,a6]
Generators	[649:14385:1]	Generators of the group modulo torsion
j	14967807005098080256/388125	j-invariant
L	2.923721416272	L(r)(E,1)/r!
Ω	1.2533433998071	Real period
R	4.6654754263231	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	5520k1 22080w1 8280i1 13800n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760f1

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

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Quadratic twists for elliptic curve 2760f1

-4	8	-3	5	-23
5520k1	22080w1	8280i1	13800n1	63480i1

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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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