Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838co |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1082880 |
Modular degree for the optimal curve |
Δ |
247411356401664 = 216 · 35 · 72 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-447707,-115337391] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:241:1] |
Generators of the group modulo torsion |
j |
202539319699122064897/5049211355136 |
j-invariant |
L |
11.856427652668 |
L(r)(E,1)/r! |
Ω |
0.18456601188654 |
Real period |
R |
0.80299370226292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838bj1 |
Quadratic twists by: -7 |