Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813f |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
605286513 = 36 · 132 · 173 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666,-6345] |
[a1,a2,a3,a4,a6] |
j |
9129329/169 |
j-invariant |
L |
1.8815621064016 |
L(r)(E,1)/r! |
Ω |
0.94078105320085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3757d1 33813g1 |
Quadratic twists by: -3 17 |