Cremona's table of elliptic curves

3120 = 2⁴ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13-	Signs for the Atkin-Lehner involutions
Class	3120z	Isogeny class
Conductor	3120	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-300710972989440 = -1 · 213 · 32 · 5 · 138	Discriminant
Eigenvalues	2- 3- 5-  0 -4 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1840,834260]	[a1,a2,a3,a4,a6]
Generators	[124:1590:1]	Generators of the group modulo torsion
j	-168288035761/73415764890	j-invariant
L	4.0768391111029	L(r)(E,1)/r!
Ω	0.4427682940629	Real period
R	4.6038065120848	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	390b6 12480bl6 9360bn6 15600z6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120z6

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

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Quadratic twists for elliptic curve 3120z6

-4	8	-3	5	13
390b6	12480bl6	9360bn6	15600z6	40560bz5

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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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