Cremona's table of elliptic curves

3060 = 2² · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17-	Signs for the Atkin-Lehner involutions
Class	3060o	Isogeny class
Conductor	3060	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-1858950000 = -1 · 24 · 37 · 55 · 17	Discriminant
Eigenvalues	2- 3- 5- -1 -3 -2 17-  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-57,2081]	[a1,a2,a3,a4,a6]
Generators	[37:-225:1]	Generators of the group modulo torsion
j	-1755904/159375	j-invariant
L	3.4235332923765	L(r)(E,1)/r!
Ω	1.2201039563919	Real period
R	0.046765595593191	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	12240ce1 48960cb1 1020a1 15300p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3060o1

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
-	-	-	-1	-3	-2	-	1	2	-5	6	1	-5	4	-13	-11	-4	-2	8	-12	-13	6	4	4	-10

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Quadratic twists for elliptic curve 3060o1

-4	8	-3	5	17
12240ce1	48960cb1	1020a1	15300p1	52020r1

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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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