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	3480h	Isogeny class
Conductor	3480	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	80736000000 = 211 · 3 · 56 · 292	Discriminant
Eigenvalues	2+ 3- 5+ -2 -2  4 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1336,12464]	[a1,a2,a3,a4,a6]
Generators	[-5:138:1]	Generators of the group modulo torsion
j	128865945458/39421875	j-invariant
L	3.7309349316284	L(r)(E,1)/r!
Ω	1.0035855861833	Real period
R	3.7176051380108	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	6960f2 27840x2 10440x2 17400bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480h2

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

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Quadratic twists for elliptic curve 3480h2

-4	8	-3	5	29
6960f2	27840x2	10440x2	17400bc2	100920y2

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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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