Atkin-Lehner |
5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55055r |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7718400 |
Modular degree for the optimal curve |
Δ |
-7.9640462572323E+22 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11- 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104811614,413260903303] |
[a1,a2,a3,a4,a6] |
j |
-71877974412415806187281/44954964899499655 |
j-invariant |
L |
0.21454575580919 |
L(r)(E,1)/r! |
Ω |
0.10727287817344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005d1 |
Quadratic twists by: -11 |