Atkin-Lehner |
3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85557b |
Isogeny class |
Conductor |
85557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-635542806429 = -1 · 32 · 197 · 79 |
Discriminant |
Eigenvalues |
1 3+ 3 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6866,219477] |
[a1,a2,a3,a4,a6] |
j |
-761048497/13509 |
j-invariant |
L |
3.6528991249349 |
L(r)(E,1)/r! |
Ω |
0.91322478584806 |
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 |
4503d1 |
Quadratic twists by: -19 |