Atkin-Lehner |
5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325x |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
974160 |
Modular degree for the optimal curve |
Δ |
183963461545703125 = 58 · 118 · 133 |
Discriminant |
Eigenvalues |
-2 3 5- 0 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-166375,-16013594] |
[a1,a2,a3,a4,a6] |
j |
6082560/2197 |
j-invariant |
L |
2.1914991417407 |
L(r)(E,1)/r! |
Ω |
0.24349990463464 |
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 |
39325f1 39325u1 |
Quadratic twists by: 5 -11 |