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	4620l	Isogeny class
Conductor	4620	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	10040405760 = 28 · 33 · 5 · 74 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  0 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-540,-540]	[a1,a2,a3,a4,a6]
Generators	[-12:66:1]	Generators of the group modulo torsion
j	68150496976/39220335	j-invariant
L	4.5570852214264	L(r)(E,1)/r!
Ω	1.077410773112	Real period
R	0.46996263172511	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480cg2 73920a2 13860i2 23100j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620l2

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	-6	-6	-4	8	-8	6	-4	0	-12	-6	-4	-10	4	8	-4	2	-18	6	2

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Quadratic twists for elliptic curve 4620l2

-4	8	-3	5	-7	-11
18480cg2	73920a2	13860i2	23100j2	32340e2	50820v2

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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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