Atkin-Lehner |
2- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688bf |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
8.0322976451652E+22 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -4 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27199312,52859849364] |
[a1,a2,a3,a4,a6] |
j |
543297287214012431135953/19610101672766603264 |
j-invariant |
L |
1.2909343001572 |
L(r)(E,1)/r! |
Ω |
0.1075778695516 |
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 |
12586e1 |
Quadratic twists by: -4 |