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	4620a	Isogeny class
Conductor	4620	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-5488560 = -1 · 24 · 34 · 5 · 7 · 112	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11- -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-21,126]	[a1,a2,a3,a4,a6]
Generators	[3:9:1]	Generators of the group modulo torsion
j	-67108864/343035	j-invariant
L	2.8152257714161	L(r)(E,1)/r!
Ω	2.0886051199961	Real period
R	0.44929919087518	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	18480cs1 73920de1 13860s1 23100bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620a1

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	2	0	6	6	-2	10	-8	-8	4	6	-6	-8	14	-8	-2	-16	12	-18	2

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Quadratic twists for elliptic curve 4620a1

-4	8	-3	5	-7	-11
18480cs1	73920de1	13860s1	23100bc1	32340bp1	50820e1

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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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