Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366s |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-67607817665642496 = -1 · 226 · 311 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 6 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-179163,31801765] |
[a1,a2,a3,a4,a6] |
j |
-7210363418239993/766450335744 |
j-invariant |
L |
1.3544465987522 |
L(r)(E,1)/r! |
Ω |
0.33861164724821 |
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 |
34122q1 102366bq1 |
Quadratic twists by: -3 -11 |