Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846bq |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
8547127120294308 = 22 · 312 · 72 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100679,11488155] |
[a1,a2,a3,a4,a6] |
j |
154813496529595177/11724454211652 |
j-invariant |
L |
4.8496313877382 |
L(r)(E,1)/r! |
Ω |
0.4041359489782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282e1 |
Quadratic twists by: -3 |