Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110r |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.0459641222925E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5473395,688207077621] |
[a1,a2,a3,a4,a6] |
Generators |
[-2717435:-164651143:343] |
Generators of the group modulo torsion |
j |
-24875201179360733379121/280653514717763530252800 |
j-invariant |
L |
4.4452538551918 |
L(r)(E,1)/r! |
Ω |
0.045090903063415 |
Real period |
R |
12.323034010618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bn2 |
Quadratic twists by: -3 |