Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154f |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
682238019969792 = 28 · 33 · 112 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6229512,-5987113920] |
[a1,a2,a3,a4,a6] |
Generators |
[3008:48520:1] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
1.7007339840031 |
L(r)(E,1)/r! |
Ω |
0.095562178041405 |
Real period |
R |
4.4492863674221 |
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 |
89232ct2 33462dd2 122694ct2 858i2 |
Quadratic twists by: -4 -3 -11 13 |