Cremona's table of elliptic curves

29040 = 2⁴ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	29040cd	Isogeny class
Conductor	29040	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	103680	Modular degree for the optimal curve
Δ	21410611200000 = 221 · 33 · 55 · 112	Discriminant
Eigenvalues	2- 3+ 5+ -1 11- -5  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-82056,9071856]	[a1,a2,a3,a4,a6]
Generators	[148:384:1]	Generators of the group modulo torsion
j	123286270205329/43200000	j-invariant
L	3.7726318462559	L(r)(E,1)/r!
Ω	0.66731994223539	Real period
R	1.4133519798683	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	3630h1 116160jb1 87120fw1 29040ca1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040cd1

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

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Quadratic twists for elliptic curve 29040cd1

-4	8	-3	-11
3630h1	116160jb1	87120fw1	29040ca1

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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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