Atkin-Lehner |
2+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570g |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5241600 |
Modular degree for the optimal curve |
Δ |
-9.7264128905176E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21224883,37638313806] |
[a1,a2,a3,a4,a6] |
j |
-219078361234273767409/20150813696000 |
j-invariant |
L |
2.1764541434381 |
L(r)(E,1)/r! |
Ω |
0.18137117321223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890l1 |
Quadratic twists by: 13 |