Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
89012q |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
609120 |
Modular degree for the optimal curve |
Δ |
-39788904245516272 = -1 · 24 · 75 · 116 · 174 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-150569,-24450267] |
[a1,a2,a3,a4,a6] |
j |
-282497586709248/29774625727 |
j-invariant |
L |
1.2046364547848 |
L(r)(E,1)/r! |
Ω |
0.12046365543922 |
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 |
89012h1 |
Quadratic twists by: 17 |