Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325h |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
15289911325 = 52 · 13 · 196 |
Discriminant |
Eigenvalues |
0 1 5+ 4 -6 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1203,-15326] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:14797:8] |
Generators of the group modulo torsion |
j |
163840/13 |
j-invariant |
L |
5.8609649992783 |
L(r)(E,1)/r! |
Ω |
0.81467257549647 |
Real period |
R |
3.5971291613444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325m1 325b1 |
Quadratic twists by: 5 -19 |