Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bp |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1210481433984375 = -1 · 312 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17208,1426491] |
[a1,a2,a3,a4,a6] |
j |
49471280711/106269975 |
j-invariant |
L |
4.0442395574545 |
L(r)(E,1)/r! |
Ω |
0.33701996312128 |
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 |
8925z1 5355k1 |
Quadratic twists by: -3 5 |