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	6120y	Isogeny class
Conductor	6120	Conductor
∏ cp	104	Product of Tamagawa factors cp
deg	69888	Modular degree for the optimal curve
Δ	-529365058593750000 = -1 · 24 · 313 · 513 · 17	Discriminant
Eigenvalues	2- 3- 5- -3 -3  4 17- -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,68793,34309631]	[a1,a2,a3,a4,a6]
Generators	[37:6075:1]	Generators of the group modulo torsion
j	3086803246205696/45384521484375	j-invariant
L	3.8688971942376	L(r)(E,1)/r!
Ω	0.21726940955752	Real period
R	0.17122030494646	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	12240x1 48960ch1 2040b1 30600r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120y1

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

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Quadratic twists for elliptic curve 6120y1

-4	8	-3	5	17
12240x1	48960ch1	2040b1	30600r1	104040cg1

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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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