Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309x |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-15948351326271 = -1 · 3 · 73 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66634,-6628861] |
[a1,a2,a3,a4,a6] |
j |
-95393251687599559/46496651097 |
j-invariant |
L |
0.5942823720391 |
L(r)(E,1)/r! |
Ω |
0.14857059300828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927n1 36309i1 |
Quadratic twists by: -3 -7 |