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	2760g	Isogeny class
Conductor	2760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	18282240000 = 211 · 33 · 54 · 232	Discriminant
Eigenvalues	2- 3+ 5-  2 -2  2 -8  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-960,-9108]	[a1,a2,a3,a4,a6]
j	47825527682/8926875	j-invariant
L	1.7373715962627	L(r)(E,1)/r!
Ω	0.86868579813135	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5520j2 22080bf2 8280e2 13800k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760g2

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
-	+	-	2	-2	2	-8	4	-	2	8	8	2	8	8	-6	-8	-8	-16	8	-10	10	6	4	10

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Quadratic twists for elliptic curve 2760g2

-4	8	-3	5	-23
5520j2	22080bf2	8280e2	13800k2	63480j2

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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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