Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200z |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6768 |
Modular degree for the optimal curve |
Δ |
-33200 = -1 · 24 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 0 4 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,-385] |
[a1,a2,a3,a4,a6] |
j |
-276480000/83 |
j-invariant |
L |
6.7936668715316 |
L(r)(E,1)/r! |
Ω |
0.75485187461403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8300e1 33200bo1 |
Quadratic twists by: -4 5 |