Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673k |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-153617419107 = -1 · 37 · 174 · 292 |
Discriminant |
Eigenvalues |
0 3- 0 -1 -6 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1740,33705] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-77:1] |
Generators of the group modulo torsion |
j |
-950272000/250563 |
j-invariant |
L |
2.8221391347592 |
L(r)(E,1)/r! |
Ω |
0.97601112670262 |
Real period |
R |
0.36143789482213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995715741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891i1 128673j1 |
Quadratic twists by: -3 29 |