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	6120z	Isogeny class
Conductor	6120	Conductor
∏ cp	384	Product of Tamagawa factors cp
deg	215040	Modular degree for the optimal curve
Δ	-3.5589153697944E+20	Discriminant
Eigenvalues	2- 3- 5- -4  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-182127,-908139854]	[a1,a2,a3,a4,a6]
Generators	[1337:35190:1]	Generators of the group modulo torsion
j	-3579968623693264/1906997690433375	j-invariant
L	3.8492042813737	L(r)(E,1)/r!
Ω	0.076496070065319	Real period
R	2.0966242002623	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	12240z1 48960cj1 2040f1 30600s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120z1

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

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Quadratic twists for elliptic curve 6120z1

-4	8	-3	5	17
12240z1	48960cj1	2040f1	30600s1	104040ch1

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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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