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	4620c	Isogeny class
Conductor	4620	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	4320	Modular degree for the optimal curve
Δ	-6389349120 = -1 · 28 · 33 · 5 · 75 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  2 -7  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5741,169401]	[a1,a2,a3,a4,a6]
Generators	[43:14:1]	Generators of the group modulo torsion
j	-81756451446784/24958395	j-invariant
L	3.059631167349	L(r)(E,1)/r!
Ω	1.3095303896661	Real period
R	0.15576225856706	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	18480cp1 73920du1 13860y1 23100t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620c1

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	-7	3	3	-5	0	2	0	1	8	-9	-9	5	-2	-12	0	-14	9	5	7

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Quadratic twists for elliptic curve 4620c1

-4	8	-3	5	-7	-11
18480cp1	73920du1	13860y1	23100t1	32340bk1	50820b1

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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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