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	3480c	Isogeny class
Conductor	3480	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	111360000 = 211 · 3 · 54 · 29	Discriminant
Eigenvalues	2+ 3+ 5- -4  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3720,-86100]	[a1,a2,a3,a4,a6]
Generators	[970:8875:8]	Generators of the group modulo torsion
j	2780605132562/54375	j-invariant
L	2.9510867997443	L(r)(E,1)/r!
Ω	0.61130028869453	Real period
R	4.8275566923852	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	6960t3 27840bn4 10440t3 17400bn3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480c3

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
+	+	-	-4	4	2	-2	0	-8	-	0	-6	-2	4	-8	14	12	10	-4	-8	-2	-8	0	-18	14

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Quadratic twists for elliptic curve 3480c3

-4	8	-3	5	29
6960t3	27840bn4	10440t3	17400bn3	100920bs4

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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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