Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
91936r |
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 |
[11706:261443:8] |
Generators of the group modulo torsion |
j |
484772621703616/830297 |
j-invariant |
L |
2.9021361042339 |
L(r)(E,1)/r! |
Ω |
0.14720697701884 |
Real period |
R |
3.2857773451253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91936k1 7072b1 |
Quadratic twists by: -4 13 |