Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336c |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13632 |
Modular degree for the optimal curve |
Δ |
32336 = 24 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -1 2 2 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7838,-267089] |
[a1,a2,a3,a4,a6] |
j |
3328277330110464/2021 |
j-invariant |
L |
0.50739740283302 |
L(r)(E,1)/r! |
Ω |
0.50739740283196 |
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 |
16168b1 129344bd1 |
Quadratic twists by: -4 8 |