Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200w |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-33200 = -1 · 24 · 52 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -1 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-8] |
[a1,a2,a3,a4,a6] |
j |
81920/83 |
j-invariant |
L |
2.0042531966362 |
L(r)(E,1)/r! |
Ω |
2.0042531966362 |
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 |
8300b1 33200bm1 |
Quadratic twists by: -4 5 |