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	32	Product of Tamagawa factors cp
Δ	95180147763840000 = 210 · 312 · 54 · 234	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-141880,14287900]	[a1,a2,a3,a4,a6]
Generators	[65:2310:1]	Generators of the group modulo torsion
j	308453964046598884/92949363050625	j-invariant
L	2.923721416272	L(r)(E,1)/r!
Ω	0.31333584995176	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	5520k3 22080w4 8280i3 13800n3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760f3

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 2760f3

-4	8	-3	5	-23
5520k3	22080w4	8280i3	13800n3	63480i4

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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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