Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850dc |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
27319531250 = 2 · 58 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 5 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14638,-687719] |
[a1,a2,a3,a4,a6] |
j |
7338805705/578 |
j-invariant |
L |
10.416989897223 |
L(r)(E,1)/r! |
Ω |
0.43404126128886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850z1 102850bv1 |
Quadratic twists by: 5 -11 |