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	60552b	Isogeny class
Conductor	60552	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	564480	Modular degree for the optimal curve
Δ	-347678018959408128 = -1 · 210 · 39 · 297	Discriminant
Eigenvalues	2+ 3+ -2 -4  0  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,158949,-14487066]	[a1,a2,a3,a4,a6]
Generators	[853325:24933968:1331]	Generators of the group modulo torsion
j	37044/29	j-invariant
L	4.2742383182858	L(r)(E,1)/r!
Ω	0.16879650009177	Real period
R	6.330460518715	Regulator
r	1	Rank of the group of rational points
S	1.0000000000405	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121104d1 60552n1 2088h1	Quadratic twists by: -4 -3 29

Hecke Eigenvalues for elliptic curve 60552b1

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
+	+	-2	-4	0	2	6	0	4	+	-6	-4	6	-4	0	2	-2	0	12	0	-14	-10	6	-6	-2

---

Quadratic twists for elliptic curve 60552b1

-4	-3	29
121104d1	60552n1	2088h1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations