Cremona's table of elliptic curves

4929 = 3 · 31 · 53

Field	Data	Notes
Atkin-Lehner	3- 31- 53+	Signs for the Atkin-Lehner involutions
Class	4929b	Isogeny class
Conductor	4929	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	592	Modular degree for the optimal curve
Δ	-14787 = -1 · 32 · 31 · 53	Discriminant
Eigenvalues	2 3-  2 -5  0 -4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-2,-7]	[a1,a2,a3,a4,a6]
Generators	[26:41:8]	Generators of the group modulo torsion
j	-1404928/14787	j-invariant
L	8.1191676428406	L(r)(E,1)/r!
Ω	1.6758912120855	Real period
R	2.4223432834692	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	78864i1 14787b1 123225g1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4929b1

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	-5	0	-4	2	-2	-3	-2	-	4	-6	2	-5	+	0	-10	-14	10	-5	-15	-7	14	-5

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Quadratic twists for elliptic curve 4929b1

-4	-3	5
78864i1	14787b1	123225g1

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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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