Atkin-Lehner |
3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487b |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
751854405393 = 35 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22296,-1290024] |
[a1,a2,a3,a4,a6] |
j |
10418796526321/6390657 |
j-invariant |
L |
0.78142751531463 |
L(r)(E,1)/r! |
Ω |
0.39071375766075 |
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 |
97461n1 4641g1 |
Quadratic twists by: -3 -7 |