Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6138m |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1616691887382528 = -1 · 213 · 314 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11+ 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-531086,-148848483] |
[a1,a2,a3,a4,a6] |
j |
-22724271869580547993/2217684344832 |
j-invariant |
L |
2.2990542260242 |
L(r)(E,1)/r! |
Ω |
0.088425162539393 |
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 |
49104bo1 2046c1 67518x1 |
Quadratic twists by: -4 -3 -11 |