Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33396i |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1149984 |
Modular degree for the optimal curve |
Δ |
-5142459979350067968 = -1 · 28 · 311 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 11- -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131325,-110587959] |
[a1,a2,a3,a4,a6] |
j |
-4564443136/93710763 |
j-invariant |
L |
0.62726400556692 |
L(r)(E,1)/r! |
Ω |
0.10454400092866 |
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 |
100188z1 33396h1 |
Quadratic twists by: -3 -11 |