Atkin-Lehner |
2+ 3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346l |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024000 |
Modular degree for the optimal curve |
Δ |
87827949691739136 = 210 · 311 · 11 · 175 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11+ -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191250,-28814508] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:1398:1] |
Generators of the group modulo torsion |
j |
1061211121203060001/120477297245184 |
j-invariant |
L |
2.7947933482149 |
L(r)(E,1)/r! |
Ω |
0.22998332747253 |
Real period |
R |
1.5190195306359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782bj1 |
Quadratic twists by: -3 |