Cremona's table of elliptic curves

2929 = 29 · 101

Field	Data	Notes
Atkin-Lehner	29+ 101+	Signs for the Atkin-Lehner involutions
Class	2929a	Isogeny class
Conductor	2929	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	424	Modular degree for the optimal curve
Δ	84941 = 292 · 101	Discriminant
Eigenvalues	2  0  3 -4  0 -3 -3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-11,-1]	[a1,a2,a3,a4,a6]
Generators	[-14:25:8]	Generators of the group modulo torsion
j	147197952/84941	j-invariant
L	6.2599692038891	L(r)(E,1)/r!
Ω	2.859809526034	Real period
R	1.0944731016003	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	46864b1 26361d1 73225b1 84941b1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 2929a1

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	0	3	-4	0	-3	-3	-3	5	+	9	-6	-10	-12	1	14	0	-2	-6	-15	-8	1	-4	12	2

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Quadratic twists for elliptic curve 2929a1

-4	-3	5	29
46864b1	26361d1	73225b1	84941b1

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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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