Atkin-Lehner |
3- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32085f |
Isogeny class |
Conductor |
32085 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-53594602734990375 = -1 · 313 · 53 · 234 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2061,11137720] |
[a1,a2,a3,a4,a6] |
j |
1327735672271/73517973573375 |
j-invariant |
L |
3.3635188120175 |
L(r)(E,1)/r! |
Ω |
0.28029323433533 |
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 |
10695a1 |
Quadratic twists by: -3 |