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	128	Product of Tamagawa factors cp
Δ	38564100000000 = 28 · 36 · 58 · 232	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-129380,17952900]	[a1,a2,a3,a4,a6]
Generators	[-280:5670:1]	Generators of the group modulo torsion
j	935596404100595536/150641015625	j-invariant
L	2.923721416272	L(r)(E,1)/r!
Ω	0.62667169990353	Real period
R	2.3327377131616	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	5520k2 22080w2 8280i2 13800n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760f2

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 2760f2

-4	8	-3	5	-23
5520k2	22080w2	8280i2	13800n2	63480i2

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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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