Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088p |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
328628627712 = 28 · 39 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5282751,-4673457794] |
[a1,a2,a3,a4,a6] |
Generators |
[11669:1233936:1] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
3.6340011332032 |
L(r)(E,1)/r! |
Ω |
0.099582842684165 |
Real period |
R |
6.0820402311147 |
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 |
5544t1 44352dl1 3696i1 77616cj1 |
Quadratic twists by: -4 8 -3 -7 |