Atkin-Lehner |
2- 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11362h |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
9453184 = 27 · 132 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 0 3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105,343] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
128100283921/9453184 |
j-invariant |
L |
6.2325350980533 |
L(r)(E,1)/r! |
Ω |
2.2550311058859 |
Real period |
R |
0.19741682377259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896k1 102258e1 |
Quadratic twists by: -4 -3 |