Atkin-Lehner |
2+ 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072f |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2726314060032 = 28 · 310 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5367,128810] |
[a1,a2,a3,a4,a6] |
j |
91611713104/14608593 |
j-invariant |
L |
1.5452952802451 |
L(r)(E,1)/r! |
Ω |
0.77264798787222 |
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 |
42024j1 |
Quadratic twists by: -3 |