Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370db |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
2166588193440000 = 28 · 3 · 54 · 11 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2112596,1181700240] |
[a1,a2,a3,a4,a6] |
j |
43199583152847841/89760000 |
j-invariant |
L |
6.3751571246348 |
L(r)(E,1)/r! |
Ω |
0.39844731698157 |
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 |
5610bb1 |
Quadratic twists by: 17 |