Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856v |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-9389905805312 = -1 · 225 · 234 |
Discriminant |
Eigenvalues |
2+ -3 2 2 4 -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40204,3106288] |
[a1,a2,a3,a4,a6] |
j |
-97967097/128 |
j-invariant |
L |
1.4539794190757 |
L(r)(E,1)/r! |
Ω |
0.72698970953363 |
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 |
33856bq1 1058e1 33856w1 |
Quadratic twists by: -4 8 -23 |