Atkin-Lehner |
2- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
99220a |
Isogeny class |
Conductor |
99220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
28826982316880 = 24 · 5 · 118 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22748,-1295063] |
[a1,a2,a3,a4,a6] |
Generators |
[462:9317:1] |
Generators of the group modulo torsion |
j |
45927972864/1017005 |
j-invariant |
L |
5.2521012409065 |
L(r)(E,1)/r! |
Ω |
0.38926828324953 |
Real period |
R |
2.24870672759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9020a1 |
Quadratic twists by: -11 |