Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bb |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-257034387456 = -1 · 215 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1509,-9270] |
[a1,a2,a3,a4,a6] |
Generators |
[13:112:1] |
Generators of the group modulo torsion |
j |
3436115229/2324168 |
j-invariant |
L |
3.862997323631 |
L(r)(E,1)/r! |
Ω |
0.55804144965567 |
Real period |
R |
0.43265125355098 |
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 |
1386f2 44352df2 11088bd2 77616di2 |
Quadratic twists by: -4 8 -3 -7 |