Atkin-Lehner |
3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159f |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2296320 |
Modular degree for the optimal curve |
Δ |
1929276242190409437 = 311 · 1310 · 79 |
Discriminant |
Eigenvalues |
0 3- 0 -4 -6 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-856830,297869809] |
[a1,a2,a3,a4,a6] |
j |
692224000/19197 |
j-invariant |
L |
0.52394822474483 |
L(r)(E,1)/r! |
Ω |
0.26197348330307 |
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 |
40053b1 120159e1 |
Quadratic twists by: -3 13 |