Atkin-Lehner |
2- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18224f |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
5121278738432 = 226 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24755,-1495182] |
[a1,a2,a3,a4,a6] |
j |
409593028559625/1250312192 |
j-invariant |
L |
0.76136606298151 |
L(r)(E,1)/r! |
Ω |
0.38068303149075 |
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 |
2278a1 72896m1 |
Quadratic twists by: -4 8 |