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	6120j	Isogeny class
Conductor	6120	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	42240	Modular degree for the optimal curve
Δ	-50757249665520 = -1 · 24 · 317 · 5 · 173	Discriminant
Eigenvalues	2+ 3- 5+  3 -5  0 17- -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-859323,306607687]	[a1,a2,a3,a4,a6]
Generators	[539:-153:1]	Generators of the group modulo torsion
j	-6016521998966814976/4351616055	j-invariant
L	3.952110300941	L(r)(E,1)/r!
Ω	0.52526138361816	Real period
R	0.62700692521846	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12240q1 48960de1 2040p1 30600cg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120j1

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	0	-	-1	0	-1	4	-5	3	0	7	-9	6	-4	-14	-8	-3	-2	0	2	14

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Quadratic twists for elliptic curve 6120j1

-4	8	-3	5	17
12240q1	48960de1	2040p1	30600cg1	104040bi1

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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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