Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952fx |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
4794470569347121152 = 226 · 36 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423507,-12447470] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
0.81027629647373 |
L(r)(E,1)/r! |
Ω |
0.20256913029299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994ba1 13328y1 17136bh1 |
Quadratic twists by: -4 -3 -7 |