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
deg	768	Modular degree for the optimal curve
Δ	3006720 = 28 · 34 · 5 · 29	Discriminant
Eigenvalues	2+ 3+ 5- -4  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-60,180]	[a1,a2,a3,a4,a6]
Generators	[-3:18:1]	Generators of the group modulo torsion
j	94875856/11745	j-invariant
L	2.9510867997443	L(r)(E,1)/r!
Ω	2.4452011547781	Real period
R	1.2068891730963	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	6960t1 27840bn1 10440t1 17400bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480c1

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 3480c1

-4	8	-3	5	29
6960t1	27840bn1	10440t1	17400bn1	100920bs1

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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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