Atkin-Lehner |
2- 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
127368k |
Isogeny class |
Conductor |
127368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-69422613233026608 = -1 · 24 · 311 · 29 · 615 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194646,-35400971] |
[a1,a2,a3,a4,a6] |
j |
-69921808265463808/5951870133147 |
j-invariant |
L |
0.9047751308988 |
L(r)(E,1)/r! |
Ω |
0.11309692280819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456e1 |
Quadratic twists by: -3 |