Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200fz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
7.45612148736E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10290008,-12640236012] |
[a1,a2,a3,a4,a6] |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
4.0476104742243 |
L(r)(E,1)/r! |
Ω |
0.084325223352541 |
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 |
13650a1 21840bk1 |
Quadratic twists by: -4 5 |