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	4620h	Isogeny class
Conductor	4620	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-31580748564750000 = -1 · 24 · 314 · 56 · 74 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  0 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-82321,-12507496]	[a1,a2,a3,a4,a6]
Generators	[587:11907:1]	Generators of the group modulo torsion
j	-3856034557002072064/1973796785296875	j-invariant
L	4.0478283747862	L(r)(E,1)/r!
Ω	0.1376009801918	Real period
R	0.7004082814817	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	18480bx1 73920bb1 13860t1 23100f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620h1

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

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Quadratic twists for elliptic curve 4620h1

-4	8	-3	5	-7	-11
18480bx1	73920bb1	13860t1	23100f1	32340k1	50820q1

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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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