Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186w |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-28241283544275032 = -1 · 23 · 74 · 118 · 193 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-317083,69171433] |
[a1,a2,a3,a4,a6] |
Generators |
[24:7835:1] |
Generators of the group modulo torsion |
j |
-16447549116625/131747672 |
j-invariant |
L |
10.413459047186 |
L(r)(E,1)/r! |
Ω |
0.37576280355778 |
Real period |
R |
2.3094043522026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32186a1 |
Quadratic twists by: -11 |