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	6120l	Isogeny class
Conductor	6120	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-371790000 = -1 · 24 · 37 · 54 · 17	Discriminant
Eigenvalues	2+ 3- 5-  0  4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,78,889]	[a1,a2,a3,a4,a6]
j	4499456/31875	j-invariant
L	2.4673656174277	L(r)(E,1)/r!
Ω	1.2336828087139	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12240u1 48960by1 2040m1 30600bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120l1

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	4	-2	-	4	0	6	-4	2	2	-4	12	6	-4	-10	-4	-8	6	4	16	6	14

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Quadratic twists for elliptic curve 6120l1

-4	8	-3	5	17
12240u1	48960by1	2040m1	30600bz1	104040j1

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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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