Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992fx |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
5971585794048 = 222 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24204,-1444592] |
[a1,a2,a3,a4,a6] |
j |
8205738913/31248 |
j-invariant |
L |
1.5313941217973 |
L(r)(E,1)/r! |
Ω |
0.3828487540129 |
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 |
124992ca1 31248cb1 41664eb1 |
Quadratic twists by: -4 8 -3 |