Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200v |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
817920 |
Modular degree for the optimal curve |
Δ |
-2493132585728000 = -1 · 211 · 53 · 175 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -5 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179528,-29436652] |
[a1,a2,a3,a4,a6] |
j |
-2499670380341626/9738799163 |
j-invariant |
L |
0.92752224271997 |
L(r)(E,1)/r! |
Ω |
0.11594046480959 |
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 |
64600n1 129200ba1 |
Quadratic twists by: -4 5 |