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	4620k	Isogeny class
Conductor	4620	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	2592	Modular degree for the optimal curve
Δ	-8049888000 = -1 · 28 · 33 · 53 · 7 · 113	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,259,4095]	[a1,a2,a3,a4,a6]
Generators	[-11:6:1]	Generators of the group modulo torsion
j	7476617216/31444875	j-invariant
L	4.3468468756572	L(r)(E,1)/r!
Ω	0.93780399811584	Real period
R	1.5450445524475	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	18480bk1 73920bo1 13860v1 23100d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620k1

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	-3	-7	-3	-3	-4	-10	0	-7	0	9	3	-1	2	-12	-4	2	-3	9	-19

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Quadratic twists for elliptic curve 4620k1

-4	8	-3	5	-7	-11
18480bk1	73920bo1	13860v1	23100d1	32340t1	50820l1

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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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