Atkin-Lehner |
2+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
16432c |
Isogeny class |
Conductor |
16432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-166160384 = -1 · 211 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 1 3 1 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,136,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[10:79:8] |
Generators of the group modulo torsion |
j |
134838286/81133 |
j-invariant |
L |
7.1630481785378 |
L(r)(E,1)/r! |
Ω |
1.0554047137298 |
Real period |
R |
1.6967538815569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8216a1 65728q1 |
Quadratic twists by: -4 8 |