Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cl |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
1028396968574976 = 226 · 37 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186930,-31022636] |
[a1,a2,a3,a4,a6] |
j |
20222666908086769/28789702656 |
j-invariant |
L |
1.8369895508129 |
L(r)(E,1)/r! |
Ω |
0.22962376016012 |
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 |
42042by1 126126bl1 |
Quadratic twists by: -3 -7 |