Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
112437i |
Isogeny class |
Conductor |
112437 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-1.4795807500446E+22 |
Discriminant |
Eigenvalues |
2 3- -2 2 1 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3825741,-6522657525] |
[a1,a2,a3,a4,a6] |
Generators |
[923748026063973759446953510416823861697691238514:71049830214397074739819080100577698054453939048765:139118788328400477231116377913372001524241736] |
Generators of the group modulo torsion |
j |
-9571339399168/22868673867 |
j-invariant |
L |
14.549368708911 |
L(r)(E,1)/r! |
Ω |
0.050366770535069 |
Real period |
R |
72.217101445786 |
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 |
37479e1 3627b1 |
Quadratic twists by: -3 -31 |