Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bk |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-4014924642421875 = -1 · 32 · 57 · 7 · 138 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,36617,1433644] |
[a1,a2,a3,a4,a6] |
j |
425984/315 |
j-invariant |
L |
1.122259554994 |
L(r)(E,1)/r! |
Ω |
0.28056486622444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745g1 88725bq1 |
Quadratic twists by: 5 13 |