Atkin-Lehner |
5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575bc |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-1739375 = -1 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 1 5- 0 11- 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-208] |
[a1,a2,a3,a4,a6] |
j |
-366025/23 |
j-invariant |
L |
0.84415582892366 |
L(r)(E,1)/r! |
Ω |
0.84415582706581 |
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 |
69575e1 69575bb1 |
Quadratic twists by: 5 -11 |