Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018bd |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-286597481104 = -1 · 24 · 112 · 236 |
Discriminant |
Eigenvalues |
2- -2 3 2 11- -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1576,-9008] |
[a1,a2,a3,a4,a6] |
j |
24167/16 |
j-invariant |
L |
4.4397579607345 |
L(r)(E,1)/r! |
Ω |
0.55496970876339 |
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 |
128018l1 242a1 |
Quadratic twists by: -11 -23 |