Atkin-Lehner |
2- 7- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17794k |
Isogeny class |
Conductor |
17794 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
35588 = 22 · 7 · 31 · 41 |
Discriminant |
Eigenvalues |
2- -2 4 7- -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-186,-992] |
[a1,a2,a3,a4,a6] |
j |
711882749089/35588 |
j-invariant |
L |
2.5854756779886 |
L(r)(E,1)/r! |
Ω |
1.2927378389943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124558z1 |
Quadratic twists by: -7 |