Cremona's table of elliptic curves

60552 = 2³ · 3² · 29²

Field	Data	Notes
Atkin-Lehner	2- 3- 29-	Signs for the Atkin-Lehner involutions
Class	60552v	Isogeny class
Conductor	60552	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-54618872832 = -1 · 210 · 37 · 293	Discriminant
Eigenvalues	2- 3-  0  0  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-435,11774]	[a1,a2,a3,a4,a6]
j	-500/3	j-invariant
L	1.9317398814082	L(r)(E,1)/r!
Ω	0.96586993925935	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121104t1 20184c1 60552j1	Quadratic twists by: -4 -3 29

Hecke Eigenvalues for elliptic curve 60552v1

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	4	2	2	-4	-4	-	-2	-2	2	-8	-4	4	-6	2	8	8	-4	2	-6	6	-16

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Quadratic twists for elliptic curve 60552v1

-4	-3	29
121104t1	20184c1	60552j1

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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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