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	6120k	Isogeny class
Conductor	6120	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	134835840000 = 210 · 36 · 54 · 172	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1467,-12474]	[a1,a2,a3,a4,a6]
Generators	[-18:90:1]	Generators of the group modulo torsion
j	467720676/180625	j-invariant
L	4.2349862909679	L(r)(E,1)/r!
Ω	0.7971016102243	Real period
R	1.3282454321527	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	12240r2 48960be2 680a2 30600ch2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120k2

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	0	-2	+	-4	8	-2	-8	2	-2	-4	0	-6	4	-6	4	8	2	0	-4	6	18

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Quadratic twists for elliptic curve 6120k2

-4	8	-3	5	17
12240r2	48960be2	680a2	30600ch2	104040i2

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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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