Cremona's table of elliptic curves

3480 = 2³ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 29+	Signs for the Atkin-Lehner involutions
Class	3480q	Isogeny class
Conductor	3480	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	-1101093750000 = -1 · 24 · 35 · 510 · 29	Discriminant
Eigenvalues	2- 3+ 5- -3  3 -1 -5  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1820,-41303]	[a1,a2,a3,a4,a6]
Generators	[24:125:1]	Generators of the group modulo torsion
j	41646570900224/68818359375	j-invariant
L	2.9691053710944	L(r)(E,1)/r!
Ω	0.45868133328461	Real period
R	0.32365666047849	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	6960r1 27840bt1 10440g1 17400k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480q1

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
-	+	-	-3	3	-1	-5	0	4	+	8	-8	-6	10	-7	0	-8	-10	3	6	-4	16	-12	11	-16

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Quadratic twists for elliptic curve 3480q1

-4	8	-3	5	29
6960r1	27840bt1	10440g1	17400k1	100920s1

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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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