Cremona's table of elliptic curves

4930 = 2 · 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 17- 29+	Signs for the Atkin-Lehner involutions
Class	4930g	Isogeny class
Conductor	4930	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	11951837020160 = 224 · 5 · 173 · 29	Discriminant
Eigenvalues	2- -2 5+ -4  0  2 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-13476,-579824]	[a1,a2,a3,a4,a6]
Generators	[344:5788:1]	Generators of the group modulo torsion
j	270650437376298049/11951837020160	j-invariant
L	3.2942779738827	L(r)(E,1)/r!
Ω	0.44431750431793	Real period
R	3.7071215311894	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	39440k1 44370q1 24650d1 83810bi1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4930g1

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

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Quadratic twists for elliptic curve 4930g1

-4	-3	5	17
39440k1	44370q1	24650d1	83810bi1

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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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