Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11132b |
Isogeny class |
Conductor |
11132 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1653120 |
Modular degree for the optimal curve |
Δ |
-1.4129984529781E+21 |
Discriminant |
Eigenvalues |
2- 1 4 -2 11- -3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106984126,-425958614963] |
[a1,a2,a3,a4,a6] |
Generators |
[30772085405321739733442139590513010450208431403039125907432756443598210875570865575:40804512402725086621103802417190685191133074478450045087462393343635900786771645170377377:17500658980470391030997026807845479326071928240429670166180785759734375] |
Generators of the group modulo torsion |
j |
-4777554520541237119744/49850049369527 |
j-invariant |
L |
6.2727179875106 |
L(r)(E,1)/r! |
Ω |
0.02347142465824 |
Real period |
R |
133.62456857319 |
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 |
44528s1 100188bn1 1012a1 |
Quadratic twists by: -4 -3 -11 |