Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018r |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
900864 |
Modular degree for the optimal curve |
Δ |
-20050431427406116 = -1 · 22 · 112 · 2310 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192391,33235491] |
[a1,a2,a3,a4,a6] |
j |
-157113/4 |
j-invariant |
L |
3.0711184651813 |
L(r)(E,1)/r! |
Ω |
0.38388967581047 |
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 |
128018c1 128018q1 |
Quadratic twists by: -11 -23 |