Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136l |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-13939104052740096 = -1 · 216 · 320 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -5 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,59028,-1340368] |
[a1,a2,a3,a4,a6] |
j |
476091534236/291761109 |
j-invariant |
L |
0.91795139118332 |
L(r)(E,1)/r! |
Ω |
0.22948784779358 |
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 |
35136bs1 4392d1 11712c1 |
Quadratic twists by: -4 8 -3 |