Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6138n |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
11189488068 = 22 · 37 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-563,-561] |
[a1,a2,a3,a4,a6] |
j |
27027009001/15349092 |
j-invariant |
L |
4.2344493840167 |
L(r)(E,1)/r! |
Ω |
1.0586123460042 |
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 |
49104bq1 2046d1 67518ba1 |
Quadratic twists by: -4 -3 -11 |