Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907k |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
704998014633 = 34 · 116 · 173 |
Discriminant |
Eigenvalues |
1 3+ 0 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2785,-40784] |
[a1,a2,a3,a4,a6] |
j |
274625/81 |
j-invariant |
L |
1.3441312489865 |
L(r)(E,1)/r! |
Ω |
0.67206588423841 |
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 |
867b1 104907be1 |
Quadratic twists by: -11 17 |