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	6120n	Isogeny class
Conductor	6120	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	9984	Modular degree for the optimal curve
Δ	-1580675595120 = -1 · 24 · 319 · 5 · 17	Discriminant
Eigenvalues	2+ 3- 5- -3 -5 -2 17- -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4647,-136109]	[a1,a2,a3,a4,a6]
j	-951468070144/135517455	j-invariant
L	1.1474148337798	L(r)(E,1)/r!
Ω	0.28685370844495	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12240y1 48960ci1 2040n1 30600ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120n1

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
+	-	-	-3	-5	-2	-	-5	6	3	2	-7	-1	-4	-3	9	-4	14	8	4	-9	-14	4	12	-10

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Quadratic twists for elliptic curve 6120n1

-4	8	-3	5	17
12240y1	48960ci1	2040n1	30600ce1	104040q1

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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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