Atkin-Lehner |
2+ 3- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850u |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-159719343750 = -1 · 2 · 38 · 56 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7876,-270352] |
[a1,a2,a3,a4,a6] |
j |
-3457335616561/10222038 |
j-invariant |
L |
4.0536180521355 |
L(r)(E,1)/r! |
Ω |
0.25335112605969 |
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 |
4674d1 |
Quadratic twists by: 5 |