Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33212c |
Isogeny class |
Conductor |
33212 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-43699658784023296 = -1 · 28 · 199 · 232 |
Discriminant |
Eigenvalues |
2- 2 -3 -1 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56797,-11308071] |
[a1,a2,a3,a4,a6] |
Generators |
[2043072:107719741:729] |
Generators of the group modulo torsion |
j |
-1682464768/3628411 |
j-invariant |
L |
6.270700419099 |
L(r)(E,1)/r! |
Ω |
0.14487460093392 |
Real period |
R |
10.820910599022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1748f1 |
Quadratic twists by: -19 |