Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48552v |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
3701376 |
Modular degree for the optimal curve |
Δ |
-3.6758547870809E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25614744,-49991730192] |
[a1,a2,a3,a4,a6] |
j |
-130098552670514/257298363 |
j-invariant |
L |
4.2273297634507 |
L(r)(E,1)/r! |
Ω |
0.033550236221205 |
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 |
97104c1 48552e1 |
Quadratic twists by: -4 17 |