Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9405j |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
857030625 = 38 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,3206] |
[a1,a2,a3,a4,a6] |
j |
11867954041/1175625 |
j-invariant |
L |
1.5370567099341 |
L(r)(E,1)/r! |
Ω |
1.5370567099341 |
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 |
3135f1 47025bf1 103455n1 |
Quadratic twists by: -3 5 -11 |