Atkin-Lehner |
2- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102544l |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1680080896 = -1 · 218 · 13 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 1 2 3 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,1972] |
[a1,a2,a3,a4,a6] |
Generators |
[12:62:1] |
Generators of the group modulo torsion |
j |
-1/410176 |
j-invariant |
L |
5.9004944270842 |
L(r)(E,1)/r! |
Ω |
1.1881359964234 |
Real period |
R |
2.4830888223405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12818d1 |
Quadratic twists by: -4 |