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	29040ca	Isogeny class
Conductor	29040	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1140480	Modular degree for the optimal curve
Δ	3.7930203788083E+19	Discriminant
Eigenvalues	2- 3+ 5+  1 11-  5 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9928816,-12034925120]	[a1,a2,a3,a4,a6]
Generators	[-41315165690427174:-42824454748486958:22667589754901]	Generators of the group modulo torsion
j	123286270205329/43200000	j-invariant
L	4.4369166501108	L(r)(E,1)/r!
Ω	0.085051958411558	Real period
R	26.083565463837	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	3630v1 116160ix1 87120fq1 29040cd1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040ca1

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 29040ca1

-4	8	-3	-11
3630v1	116160ix1	87120fq1	29040cd1

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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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