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	4620b	Isogeny class
Conductor	4620	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-22506526350000 = -1 · 24 · 312 · 55 · 7 · 112	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4619,-195194]	[a1,a2,a3,a4,a6]
Generators	[45:319:1]	Generators of the group modulo torsion
j	681010157060096/1406657896875	j-invariant
L	3.0970663466173	L(r)(E,1)/r!
Ω	0.35270543466204	Real period
R	2.9269621259497	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	18480co1 73920dq1 13860w1 23100s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620b1

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

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Quadratic twists for elliptic curve 4620b1

-4	8	-3	5	-7	-11
18480co1	73920dq1	13860w1	23100s1	32340bj1	50820a1

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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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