Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186u |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-312922809354848 = -1 · 25 · 74 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15667,-391951] |
[a1,a2,a3,a4,a6] |
j |
1983983375/1459808 |
j-invariant |
L |
3.0505313883802 |
L(r)(E,1)/r! |
Ω |
0.30505313883823 |
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 |
32186j1 |
Quadratic twists by: -11 |