Atkin-Lehner |
3+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17355b |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8512 |
Modular degree for the optimal curve |
Δ |
-5630048775 = -1 · 37 · 52 · 13 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,444,444] |
[a1,a2,a3,a4,a6] |
j |
9678576503231/5630048775 |
j-invariant |
L |
0.81518992595332 |
L(r)(E,1)/r! |
Ω |
0.81518992595332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52065q1 86775m1 |
Quadratic twists by: -3 5 |