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
deg	1152	Modular degree for the optimal curve
Δ	-429235200 = -1 · 210 · 36 · 52 · 23	Discriminant
Eigenvalues	2- 3+ 5-  2 -2  2 -8  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,120,-900]	[a1,a2,a3,a4,a6]
j	185073116/419175	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	5520j1 22080bf1 8280e1 13800k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2760g1

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 2760g1

-4	8	-3	5	-23
5520j1	22080bf1	8280e1	13800k1	63480j1

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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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