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	2760k	Isogeny class
Conductor	2760	Conductor
∏ cp	300	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	-574759346400000 = -1 · 28 · 310 · 55 · 233	Discriminant
Eigenvalues	2- 3- 5- -3 -4  0  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7615,1127283]	[a1,a2,a3,a4,a6]
Generators	[-59:690:1]	Generators of the group modulo torsion
j	190737654201344/2245153696875	j-invariant
L	3.7292519610547	L(r)(E,1)/r!
Ω	0.38163666433354	Real period
R	0.032572446601509	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5520c1 22080k1 8280f1 13800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760k1

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
-	-	-	-3	-4	0	3	-4	-	1	1	1	3	-12	-10	-9	-9	-10	1	5	0	4	-9	-8	-10

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Quadratic twists for elliptic curve 2760k1

-4	8	-3	5	-23
5520c1	22080k1	8280f1	13800b1	63480s1

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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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