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
Δ	-7649547509680588800 = -1 · 211 · 324 · 52 · 232	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,387120,95330700]	[a1,a2,a3,a4,a6]
Generators	[65235:3321010:27]	Generators of the group modulo torsion
j	3132776881711582558/3735130619961225	j-invariant
L	2.923721416272	L(r)(E,1)/r!
Ω	0.15666792497588	Real period
R	9.3309508526462	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	5520k6 22080w5 8280i6 13800n6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760f6

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 2760f6

-4	8	-3	5	-23
5520k6	22080w5	8280i6	13800n6	63480i5

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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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