Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
36108c |
Isogeny class |
Conductor |
36108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
-57477147696 = -1 · 24 · 36 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 2 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,11637] |
[a1,a2,a3,a4,a6] |
j |
-151732224/4927739 |
j-invariant |
L |
1.8589465981608 |
L(r)(E,1)/r! |
Ω |
0.92947329909238 |
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 |
4012c1 |
Quadratic twists by: -3 |