Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186t |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-3183265267823872 = -1 · 28 · 73 · 114 · 195 |
Discriminant |
Eigenvalues |
2- 0 4 7+ 11- -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-194833,-33163391] |
[a1,a2,a3,a4,a6] |
j |
-55864824019116849/217421300992 |
j-invariant |
L |
4.5437343217613 |
L(r)(E,1)/r! |
Ω |
0.1135933580441 |
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 |
32186i1 |
Quadratic twists by: -11 |