Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27888bc |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
1.6076107396543E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46404384,-121653878976] |
[a1,a2,a3,a4,a6] |
j |
2697992943085423885932577/39248309073591009 |
j-invariant |
L |
1.7353274421872 |
L(r)(E,1)/r! |
Ω |
0.057844248072892 |
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 |
1743b1 111552dk1 83664ca1 |
Quadratic twists by: -4 8 -3 |