Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6138g |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5416751917557588168 = 23 · 38 · 112 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-591336,134665240] |
[a1,a2,a3,a4,a6] |
Generators |
[77005:207859:125] |
Generators of the group modulo torsion |
j |
31368919137792368257/7430386718185992 |
j-invariant |
L |
3.4075868072858 |
L(r)(E,1)/r! |
Ω |
0.2267803037199 |
Real period |
R |
7.5129690528473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104bh6 2046g5 67518bn6 |
Quadratic twists by: -4 -3 -11 |