Atkin-Lehner |
5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055u |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6.3244059440974E+22 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11806477,9872849726] |
[a1,a2,a3,a4,a6] |
Generators |
[5072988:-41475193:1728] |
Generators of the group modulo torsion |
j |
102737393421678887481/35699622785201375 |
j-invariant |
L |
3.6897867490554 |
L(r)(E,1)/r! |
Ω |
0.10153692132211 |
Real period |
R |
12.113120038697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005b3 |
Quadratic twists by: -11 |