Atkin-Lehner |
2+ 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934v |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-15156401493153024 = -1 · 28 · 37 · 13 · 195 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16515,5862469] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-2773:1] [-70:2123:1] |
Generators of the group modulo torsion |
j |
683308976117039/20790674201856 |
j-invariant |
L |
7.5427981154836 |
L(r)(E,1)/r! |
Ω |
0.29657853895502 |
Real period |
R |
0.31790896533738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978o1 |
Quadratic twists by: -3 |