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	8	Product of Tamagawa factors cp
Δ	13267616000 = 28 · 53 · 17 · 293	Discriminant
Eigenvalues	2- -2 5+ -4  0  2 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1079716,-431919600]	[a1,a2,a3,a4,a6]
Generators	[1996200:94457260:729]	Generators of the group modulo torsion
j	139204203138389622201409/13267616000	j-invariant
L	3.2942779738827	L(r)(E,1)/r!
Ω	0.14810583477264	Real period
R	11.121364593568	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	39440k3 44370q3 24650d3 83810bi3	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4930g3

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 4930g3

-4	-3	5	17
39440k3	44370q3	24650d3	83810bi3

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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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