Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200bc |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 5 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,-125] |
[a1,a2,a3,a4,a6] |
j |
3538944/2075 |
j-invariant |
L |
1.9405803171241 |
L(r)(E,1)/r! |
Ω |
0.9702901585592 |
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 |
8300d1 6640h1 |
Quadratic twists by: -4 5 |