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	48	Product of Tamagawa factors cp
Δ	2.303796735E+20	Discriminant
Eigenvalues	2- 3- 5- -4  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-242751387,-1455762872234]	[a1,a2,a3,a4,a6]
Generators	[6171186:9286250:343]	Generators of the group modulo torsion
j	1059623036730633329075378/154307373046875	j-invariant
L	3.8492042813737	L(r)(E,1)/r!
Ω	0.038248035032659	Real period
R	8.3864968010491	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	12240z4 48960cj4 2040f4 30600s4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120z3

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 6120z3

-4	8	-3	5	17
12240z4	48960cj4	2040f4	30600s4	104040ch4

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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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