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	3480s	Isogeny class
Conductor	3480	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	206243139600000000 = 210 · 36 · 58 · 294	Discriminant
Eigenvalues	2- 3- 5-  0 -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-190760,23409408]	[a1,a2,a3,a4,a6]
Generators	[-344:6960:1]	Generators of the group modulo torsion
j	749700798525056164/201409316015625	j-invariant
L	4.1815082216325	L(r)(E,1)/r!
Ω	0.29578490041059	Real period
R	0.58904125596958	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6960j3 27840d4 10440d3 17400d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480s3

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
-	-	-	0	-4	-2	-6	4	-8	-	8	-2	2	-4	-8	-10	-4	-10	-4	8	-6	8	4	-14	2

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Quadratic twists for elliptic curve 3480s3

-4	8	-3	5	29
6960j3	27840d4	10440d3	17400d3	100920h4

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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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