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	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-1022361600 = -1 · 220 · 3 · 52 · 13	Discriminant
Eigenvalues	2- 3- 5-  0 -4 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,240,-492]	[a1,a2,a3,a4,a6]
Generators	[11:60:1]	Generators of the group modulo torsion
j	371694959/249600	j-invariant
L	4.0768391111029	L(r)(E,1)/r!
Ω	0.88553658812579	Real period
R	2.3019032560424	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	390b1 12480bl1 9360bn1 15600z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120z1

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 3120z1

-4	8	-3	5	13
390b1	12480bl1	9360bn1	15600z1	40560bz1

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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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