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	3480o	Isogeny class
Conductor	3480	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	10463385600 = 211 · 35 · 52 · 292	Discriminant
Eigenvalues	2- 3+ 5+  2  2  0 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10416,-405684]	[a1,a2,a3,a4,a6]
Generators	[24644:463855:64]	Generators of the group modulo torsion
j	61029297062498/5109075	j-invariant
L	3.0146967385756	L(r)(E,1)/r!
Ω	0.47257747649116	Real period
R	6.3792645408314	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	6960o2 27840by2 10440i2 17400n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480o2

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	2	0	-2	-4	-4	-	-6	-10	0	4	8	14	-4	4	12	0	-10	-10	2	-16	-14

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Quadratic twists for elliptic curve 3480o2

-4	8	-3	5	29
6960o2	27840by2	10440i2	17400n2	100920m2

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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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