Atkin-Lehner |
3+ 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
85425a |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
53390625 = 3 · 56 · 17 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1788,-29844] |
[a1,a2,a3,a4,a6] |
j |
40459583737/3417 |
j-invariant |
L |
1.4683805350563 |
L(r)(E,1)/r! |
Ω |
0.73419024831549 |
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 |
3417g1 |
Quadratic twists by: 5 |