Atkin-Lehner |
2- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
16432k |
Isogeny class |
Conductor |
16432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-112324419584 = -1 · 213 · 133 · 792 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -4 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-514456,141855508] |
[a1,a2,a3,a4,a6] |
Generators |
[798:15496:1] [291:4108:1] |
Generators of the group modulo torsion |
j |
-3676286237182512409/27422954 |
j-invariant |
L |
7.0379167897419 |
L(r)(E,1)/r! |
Ω |
0.72692206326122 |
Real period |
R |
0.40340849140046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054a1 65728p1 |
Quadratic twists by: -4 8 |