Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650ce |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-176671830236625000 = -1 · 23 · 39 · 56 · 195 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-405663,-101517183] |
[a1,a2,a3,a4,a6] |
j |
-472497970270424617/11306997135144 |
j-invariant |
L |
2.5502199694368 |
L(r)(E,1)/r! |
Ω |
0.094452590483017 |
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 |
3306b1 |
Quadratic twists by: 5 |