Atkin-Lehner |
3+ 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
80925c |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-10385459296875 = -1 · 36 · 57 · 133 · 83 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -6 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,467,-155157] |
[a1,a2,a3,a4,a6] |
j |
719323136/664669395 |
j-invariant |
L |
1.3473764088763 |
L(r)(E,1)/r! |
Ω |
0.33684411858673 |
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 |
16185d1 |
Quadratic twists by: 5 |