Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122694dk |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-12243549343973376 = -1 · 220 · 3 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-536819,-151525791] |
[a1,a2,a3,a4,a6] |
Generators |
[4014:247737:1] |
Generators of the group modulo torsion |
j |
-4395631034341/3145728 |
j-invariant |
L |
11.995145561352 |
L(r)(E,1)/r! |
Ω |
0.088184842873412 |
Real period |
R |
3.4005689329405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014c3 122694bp3 |
Quadratic twists by: -11 13 |