Cremona's table of elliptic curves

4760 = 2³ · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	4760d	Isogeny class
Conductor	4760	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3680	Modular degree for the optimal curve
Δ	-365720320 = -1 · 28 · 5 · 75 · 17	Discriminant
Eigenvalues	2-  2 5- 7+ -2  7 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1785,29645]	[a1,a2,a3,a4,a6]
j	-2458338528256/1428595	j-invariant
L	3.3567651557058	L(r)(E,1)/r!
Ω	1.6783825778529	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9520e1 38080f1 42840h1 23800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4760d1

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	7	-	-2	9	-2	1	3	9	-8	3	6	-10	-5	2	-4	16	-8	7	10	-8

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Quadratic twists for elliptic curve 4760d1

-4	8	-3	5	-7	17
9520e1	38080f1	42840h1	23800c1	33320l1	80920m1

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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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