Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11726l |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-5358500576 = -1 · 25 · 11 · 135 · 41 |
Discriminant |
Eigenvalues |
2- -1 1 -2 11- 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1865,30423] |
[a1,a2,a3,a4,a6] |
Generators |
[1171:39480:1] |
Generators of the group modulo torsion |
j |
-717422139167761/5358500576 |
j-invariant |
L |
5.708668927642 |
L(r)(E,1)/r! |
Ω |
1.3649437068299 |
Real period |
R |
4.1823475203242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
93808bc1 105534j1 128986f1 |
Quadratic twists by: -4 -3 -11 |