Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bd |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2185221722198019648 = 26 · 3 · 119 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1646571,809986582] |
[a1,a2,a3,a4,a6] |
Generators |
[-10772380:-188290289:8000] |
Generators of the group modulo torsion |
j |
57736239625/255552 |
j-invariant |
L |
7.2110467226282 |
L(r)(E,1)/r! |
Ω |
0.26149625115999 |
Real period |
R |
6.8940248826938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bf3 726h3 |
Quadratic twists by: -11 13 |