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	288	Product of Tamagawa factors cp
Δ	-2078688822169600 = -1 · 212 · 52 · 176 · 292	Discriminant
Eigenvalues	2- -2 5+ -4  0  2 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,7004,-2181360]	[a1,a2,a3,a4,a6]
Generators	[116:384:1]	Generators of the group modulo torsion
j	37997782187815871/2078688822169600	j-invariant
L	3.2942779738827	L(r)(E,1)/r!
Ω	0.22215875215896	Real period
R	1.8535607655947	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	39440k2 44370q2 24650d2 83810bi2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4930g2

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 4930g2

-4	-3	5	17
39440k2	44370q2	24650d2	83810bi2

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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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