Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938t |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-543751112429157644 = -1 · 22 · 117 · 178 |
Discriminant |
Eigenvalues |
2- 1 3 -2 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-507779,-143760979] |
[a1,a2,a3,a4,a6] |
j |
-1171657/44 |
j-invariant |
L |
6.4243215514397 |
L(r)(E,1)/r! |
Ω |
0.089226688296845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358b1 69938n1 |
Quadratic twists by: -11 17 |