Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154n |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
260832 |
Modular degree for the optimal curve |
Δ |
537266801622645666 = 2 · 311 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11+ 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-957389,-358913410] |
[a1,a2,a3,a4,a6] |
j |
703971110401/3897234 |
j-invariant |
L |
1.6794417726236 |
L(r)(E,1)/r! |
Ω |
0.15267652478396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232bj1 33462ct1 122694da1 11154bh1 |
Quadratic twists by: -4 -3 -11 13 |