Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555d |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43904 |
Modular degree for the optimal curve |
Δ |
74574071040105 = 37 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79626,8605134] |
[a1,a2,a3,a4,a6] |
j |
1383586741207/1848015 |
j-invariant |
L |
0.61182991689355 |
L(r)(E,1)/r! |
Ω |
0.61182991689355 |
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 |
28665bn1 47775co1 9555v1 124215bb1 |
Quadratic twists by: -3 5 -7 13 |