Atkin-Lehner |
3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159i |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
134640 |
Modular degree for the optimal curve |
Δ |
277980757119 = 36 · 136 · 79 |
Discriminant |
Eigenvalues |
-1 3- -3 1 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3074,-59718] |
[a1,a2,a3,a4,a6] |
j |
912673/79 |
j-invariant |
L |
0.64472549803379 |
L(r)(E,1)/r! |
Ω |
0.64472576945373 |
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 |
13351a1 711c1 |
Quadratic twists by: -3 13 |