Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63544c |
Isogeny class |
Conductor |
63544 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
177216 |
Modular degree for the optimal curve |
Δ |
-78518976280576 = -1 · 211 · 138 · 47 |
Discriminant |
Eigenvalues |
2- -2 1 3 3 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,-559584] |
[a1,a2,a3,a4,a6] |
j |
-57122/47 |
j-invariant |
L |
2.101471601063 |
L(r)(E,1)/r! |
Ω |
0.2334968449316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127088c1 63544b1 |
Quadratic twists by: -4 13 |