Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555v |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
633869145 = 37 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1625,-25320] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:16:1] |
Generators of the group modulo torsion |
j |
1383586741207/1848015 |
j-invariant |
L |
3.5733899933208 |
L(r)(E,1)/r! |
Ω |
0.75200314224305 |
Real period |
R |
0.67883264854116 |
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 |
28665bb1 47775j1 9555d1 124215cc1 |
Quadratic twists by: -3 5 -7 13 |