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	29040q	Isogeny class
Conductor	29040	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-87846000 = -1 · 24 · 3 · 53 · 114	Discriminant
Eigenvalues	2+ 3+ 5- -2 11-  0 -5  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-40,475]	[a1,a2,a3,a4,a6]
Generators	[15:55:1]	Generators of the group modulo torsion
j	-30976/375	j-invariant
L	4.4032087635708	L(r)(E,1)/r!
Ω	1.6244536965442	Real period
R	0.30117535465328	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	14520bq1 116160hu1 87120bc1 29040p1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040q1

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	-5	4	-1	0	3	-2	2	8	9	-5	-4	-7	-6	-8	0	-5	16	-2	-2

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Quadratic twists for elliptic curve 29040q1

-4	8	-3	-11
14520bq1	116160hu1	87120bc1	29040p1

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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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