Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17888b |
Isogeny class |
Conductor |
17888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-48369152 = -1 · 29 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 -3 5 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,332] |
[a1,a2,a3,a4,a6] |
j |
-125000/94471 |
j-invariant |
L |
1.6247774898386 |
L(r)(E,1)/r! |
Ω |
1.6247774898386 |
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 |
17888a1 35776h1 |
Quadratic twists by: -4 8 |