Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725ce |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-100373116060546875 = -1 · 32 · 59 · 7 · 138 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2105458,1175290744] |
[a1,a2,a3,a4,a6] |
Generators |
[1408:31687:1] |
Generators of the group modulo torsion |
j |
-647868416/63 |
j-invariant |
L |
4.0979817789401 |
L(r)(E,1)/r! |
Ω |
0.32206912275083 |
Real period |
R |
1.0603266760076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725bj1 88725co1 |
Quadratic twists by: 5 13 |