Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488bl |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40550400 |
Modular degree for the optimal curve |
Δ |
-5.6536074638363E+24 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121626363,-528807606325] |
[a1,a2,a3,a4,a6] |
j |
-17059227532335375369615616/484705715349479253903 |
j-invariant |
L |
4.5385296850146 |
L(r)(E,1)/r! |
Ω |
0.022692650100794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41496d1 |
Quadratic twists by: -3 |