Cremona's table of elliptic curves

6120 = 2³ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	6120q	Isogeny class
Conductor	6120	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-182028384000 = -1 · 28 · 39 · 53 · 172	Discriminant
Eigenvalues	2- 3+ 5-  0  2  6 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,513,20034]	[a1,a2,a3,a4,a6]
Generators	[13:170:1]	Generators of the group modulo torsion
j	2963088/36125	j-invariant
L	4.453309289167	L(r)(E,1)/r!
Ω	0.74756644656218	Real period
R	0.49642290546505	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	12240d1 48960a1 6120a1 30600e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120q1

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

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Quadratic twists for elliptic curve 6120q1

-4	8	-3	5	17
12240d1	48960a1	6120a1	30600e1	104040bq1

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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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