Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
80444f |
Isogeny class |
Conductor |
80444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-119473176368 = -1 · 24 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-16756] |
[a1,a2,a3,a4,a6] |
j |
-16384/1547 |
j-invariant |
L |
1.8546028068936 |
L(r)(E,1)/r! |
Ω |
0.46365070302811 |
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 |
6188a1 |
Quadratic twists by: 13 |