Cremona's table of elliptic curves

4620 = 2² · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	4620m	Isogeny class
Conductor	4620	Conductor
∏ cp	945	Product of Tamagawa factors cp
deg	90720	Modular degree for the optimal curve
Δ	-443795356620000000 = -1 · 28 · 39 · 57 · 7 · 115	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -6 -3  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1964205,1059396975]	[a1,a2,a3,a4,a6]
Generators	[-1035:44550:1]	Generators of the group modulo torsion
j	-3273741656681120014336/1733575611796875	j-invariant
L	4.5045666849368	L(r)(E,1)/r!
Ω	0.29330985958943	Real period
R	0.016251541081536	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480ch1 73920d1 13860j1 23100m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620m1

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
-	-	-	+	-	-6	-3	3	-1	-7	4	-6	-4	-9	0	3	5	5	-2	-4	-16	2	-3	-9	-7

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Quadratic twists for elliptic curve 4620m1

-4	8	-3	5	-7	-11
18480ch1	73920d1	13860j1	23100m1	32340f1	50820x1

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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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