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	4620d	Isogeny class
Conductor	4620	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	-1212750000 = -1 · 24 · 32 · 56 · 72 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11+  4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,55,1650]	[a1,a2,a3,a4,a6]
Generators	[-5:35:1]	Generators of the group modulo torsion
j	1129201664/75796875	j-invariant
L	3.3419256271004	L(r)(E,1)/r!
Ω	1.1721571698536	Real period
R	0.15839389086542	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	18480dh1 73920cl1 13860l1 23100ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620d1

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
-	+	-	+	+	4	2	-6	-4	-4	0	6	0	-8	-4	-6	4	6	-4	0	0	-6	14	-2	-14

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Quadratic twists for elliptic curve 4620d1

-4	8	-3	5	-7	-11
18480dh1	73920cl1	13860l1	23100ba1	32340bc1	50820k1

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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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