Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450br |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-64628823710937500 = -1 · 22 · 510 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,91237,-6082483] |
[a1,a2,a3,a4,a6] |
j |
73105175/56252 |
j-invariant |
L |
7.0050807090052 |
L(r)(E,1)/r! |
Ω |
0.1945855761676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450bc1 14350j1 |
Quadratic twists by: 5 -7 |