Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100ba |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
11943936 |
Modular degree for the optimal curve |
Δ |
2.1247262288696E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35725800,42859222625] |
[a1,a2,a3,a4,a6] |
j |
27669547892867989504/11658305782549125 |
j-invariant |
L |
2.6835178569328 |
L(r)(E,1)/r! |
Ω |
0.074542159096318 |
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 |
35700a1 21420w1 |
Quadratic twists by: -3 5 |