Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088ca |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2159309169819648 = -1 · 216 · 38 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13971,2324306] |
[a1,a2,a3,a4,a6] |
Generators |
[31:1386:1] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
4.0769155949221 |
L(r)(E,1)/r! |
Ω |
0.39806271876902 |
Real period |
R |
0.42674552303484 |
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 |
1386b1 44352ej1 3696q1 77616gh1 |
Quadratic twists by: -4 8 -3 -7 |