Atkin-Lehner |
2- 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150ck |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
68321880000 = 26 · 37 · 54 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2113,-35383] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:59:1] |
Generators of the group modulo torsion |
j |
1669379329825/109315008 |
j-invariant |
L |
13.365065079205 |
L(r)(E,1)/r! |
Ω |
0.70705861551879 |
Real period |
R |
0.15001860112208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150g1 |
Quadratic twists by: 5 |