Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402m |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11424000 |
Modular degree for the optimal curve |
Δ |
-2.1765062054682E+21 |
Discriminant |
Eigenvalues |
2+ -2 2 5 11- 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12165585,-16486841692] |
[a1,a2,a3,a4,a6] |
Generators |
[386039889335604563010030452672440538474:128807221327339261019955813750152844792103:3453728804023647500806115292018373] |
Generators of the group modulo torsion |
j |
-112400059784260146913/1228581011587072 |
j-invariant |
L |
5.0996092003551 |
L(r)(E,1)/r! |
Ω |
0.040392751972715 |
Real period |
R |
63.125300348437 |
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 |
10582o1 |
Quadratic twists by: -11 |