Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575p |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12925440 |
Modular degree for the optimal curve |
Δ |
-3.5441185731291E+23 |
Discriminant |
Eigenvalues |
-1 1 5+ 5 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127201313,552917908742] |
[a1,a2,a3,a4,a6] |
Generators |
[-6058:1052404:1] |
Generators of the group modulo torsion |
j |
-561631706258161/874503125 |
j-invariant |
L |
5.5236224695165 |
L(r)(E,1)/r! |
Ω |
0.09567819460854 |
Real period |
R |
3.6082035796994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915g1 69575n1 |
Quadratic twists by: 5 -11 |