Atkin-Lehner |
3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233q |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-792533180331 = -1 · 317 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3- 1 2 -5 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5454,162211] |
[a1,a2,a3,a4,a6] |
j |
-68183481529/3011499 |
j-invariant |
L |
1.7742845101421 |
L(r)(E,1)/r! |
Ω |
0.88714225556055 |
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 |
18411d1 55233j1 |
Quadratic twists by: -3 -19 |