Atkin-Lehner |
2+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186l |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-39365666648 = -1 · 23 · 72 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,844,1450] |
[a1,a2,a3,a4,a6] |
j |
4549040375/2688728 |
j-invariant |
L |
1.4000462196483 |
L(r)(E,1)/r! |
Ω |
0.700023109825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32186p1 |
Quadratic twists by: -11 |