Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
819c |
Isogeny class |
Conductor |
819 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-66339 = -1 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2 3- 3 7+ 6 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9,-7] |
[a1,a2,a3,a4,a6] |
j |
110592/91 |
j-invariant |
L |
3.8550079597702 |
L(r)(E,1)/r! |
Ω |
1.9275039798851 |
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 |
13104ce1 52416ch1 91a1 20475bc1 |
Quadratic twists by: -4 8 -3 5 |