Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
91936k |
Isogeny class |
Conductor |
91936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
256491842065472 = 26 · 138 · 173 |
Discriminant |
Eigenvalues |
2+ 2 -4 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1106330,448262216] |
[a1,a2,a3,a4,a6] |
Generators |
[-914:26364:1] [139:17238:1] |
Generators of the group modulo torsion |
j |
484772621703616/830297 |
j-invariant |
L |
11.895846657097 |
L(r)(E,1)/r! |
Ω |
0.47291244713886 |
Real period |
R |
4.1924062723113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91936r1 7072h1 |
Quadratic twists by: -4 13 |