Atkin-Lehner |
5- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555k |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2293200 |
Modular degree for the optimal curve |
Δ |
-211176378102746875 = -1 · 55 · 77 · 136 · 17 |
Discriminant |
Eigenvalues |
-2 2 5- 7+ -6 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,73290,-20773244] |
[a1,a2,a3,a4,a6] |
j |
9019694698496/43750721875 |
j-invariant |
L |
0.79603239102684 |
L(r)(E,1)/r! |
Ω |
0.15920646821356 |
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 |
595b1 |
Quadratic twists by: 13 |