Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775bk |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6293222523984375 = -1 · 39 · 57 · 72 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9333,3798616] |
[a1,a2,a3,a4,a6] |
Generators |
[120:2516:1] |
Generators of the group modulo torsion |
j |
7892485271/552491415 |
j-invariant |
L |
6.0603646743061 |
L(r)(E,1)/r! |
Ω |
0.32332777349263 |
Real period |
R |
4.6859295513352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8925i1 5355m1 |
Quadratic twists by: -3 5 |