Atkin-Lehner |
2- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22192d |
Isogeny class |
Conductor |
22192 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19680 |
Modular degree for the optimal curve |
Δ |
-46273338112 = -1 · 28 · 195 · 73 |
Discriminant |
Eigenvalues |
2- -2 0 0 -4 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3213,69799] |
[a1,a2,a3,a4,a6] |
Generators |
[35:38:1] [43:114:1] |
Generators of the group modulo torsion |
j |
-14333461504000/180755227 |
j-invariant |
L |
5.4816515809231 |
L(r)(E,1)/r! |
Ω |
1.1385683654037 |
Real period |
R |
0.48145124592317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5548a1 88768m1 |
Quadratic twists by: -4 8 |