Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186y |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
55488 |
Modular degree for the optimal curve |
Δ |
-1786612416512 = -1 · 217 · 72 · 114 · 19 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1152,-66527] |
[a1,a2,a3,a4,a6] |
Generators |
[61:277:1] |
Generators of the group modulo torsion |
j |
-11548723153/122028032 |
j-invariant |
L |
8.0664406256434 |
L(r)(E,1)/r! |
Ω |
0.35544965522218 |
Real period |
R |
0.22248650426279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186c1 |
Quadratic twists by: -11 |