Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195d |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-265225310985375 = -1 · 38 · 53 · 136 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18203,-1223238] |
[a1,a2,a3,a4,a6] |
j |
-914961296782441/363820728375 |
j-invariant |
L |
0.40311059480448 |
L(r)(E,1)/r! |
Ω |
0.20155529736057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13065g1 |
Quadratic twists by: -3 |