Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336d |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8976 |
Modular degree for the optimal curve |
Δ |
32336 = 24 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-674,6735] |
[a1,a2,a3,a4,a6] |
j |
2116330149888/2021 |
j-invariant |
L |
0.77431519299148 |
L(r)(E,1)/r! |
Ω |
3.0972607719584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16168c1 129344be1 |
Quadratic twists by: -4 8 |