Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938v |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
675648000 |
Modular degree for the optimal curve |
Δ |
-1.5305233170739E+32 |
Discriminant |
Eigenvalues |
2- -3 3 2 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35516306376,2644135741480203] |
[a1,a2,a3,a4,a6] |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
3.6366637198235 |
L(r)(E,1)/r! |
Ω |
0.018183318712376 |
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 |
6358c1 69938s1 |
Quadratic twists by: -11 17 |