Atkin-Lehner |
3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17355j |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20928 |
Modular degree for the optimal curve |
Δ |
167024780325 = 36 · 52 · 13 · 893 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1591,-15035] |
[a1,a2,a3,a4,a6] |
j |
445663628591104/167024780325 |
j-invariant |
L |
3.1196851990028 |
L(r)(E,1)/r! |
Ω |
0.7799212997507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52065o1 86775b1 |
Quadratic twists by: -3 5 |