Cremona's table of elliptic curves

4029 = 3 · 17 · 79

Field	Data	Notes
Atkin-Lehner	3- 17- 79+	Signs for the Atkin-Lehner involutions
Class	4029a	Isogeny class
Conductor	4029	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	1656	Modular degree for the optimal curve
Δ	-2088307251 = -1 · 39 · 17 · 792	Discriminant
Eigenvalues	0 3-  1 -2  3 -5 17-  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-395,3608]	[a1,a2,a3,a4,a6]
Generators	[52:355:1]	Generators of the group modulo torsion
j	-6833040818176/2088307251	j-invariant
L	3.632723920692	L(r)(E,1)/r!
Ω	1.3901550999988	Real period
R	0.14517660338344	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	64464g1 12087g1 100725b1 68493c1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4029a1

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
0	-	1	-2	3	-5	-	3	-1	2	-4	-8	-11	3	12	6	12	-4	-8	0	-10	+	14	-4	-14

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Quadratic twists for elliptic curve 4029a1

-4	-3	5	17
64464g1	12087g1	100725b1	68493c1

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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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