Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450br |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
858203154432000 = 214 · 38 · 53 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65637,-6300779] |
[a1,a2,a3,a4,a6] |
j |
343191135492197/9417867264 |
j-invariant |
L |
1.1950878704483 |
L(r)(E,1)/r! |
Ω |
0.298772000999 |
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 |
33150bu1 99450dr1 |
Quadratic twists by: -3 5 |