Atkin-Lehner |
2- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109174q |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
8356568337453594128 = 24 · 138 · 173 · 194 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -6 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2841992,-1840023047] |
[a1,a2,a3,a4,a6] |
j |
525935106358018057/1731282165392 |
j-invariant |
L |
5.5824008045229 |
L(r)(E,1)/r! |
Ω |
0.11630002216217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398b1 |
Quadratic twists by: 13 |