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	96	Product of Tamagawa factors cp
Δ	7095937500000000000 = 211 · 33 · 516 · 292	Discriminant
Eigenvalues	2- 3- 5-  0 -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1099040,-424917600]	[a1,a2,a3,a4,a6]
Generators	[-605:4350:1]	Generators of the group modulo torsion
j	71686050207365805122/3464813232421875	j-invariant
L	4.1815082216325	L(r)(E,1)/r!
Ω	0.14789245020529	Real period
R	1.1780825119392	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6960j5 27840d6 10440d5 17400d5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480s5

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 3480s5

-4	8	-3	5	29
6960j5	27840d6	10440d5	17400d5	100920h6

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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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