Atkin-Lehner |
2- 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526t |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
3737431118916352 = 28 · 118 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 5 11- 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55320,4067099] |
[a1,a2,a3,a4,a6] |
j |
87341648625/17435392 |
j-invariant |
L |
3.3546104421572 |
L(r)(E,1)/r! |
Ω |
0.4193262804042 |
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 |
97526o1 |
Quadratic twists by: -11 |