Atkin-Lehner |
2- 3- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236n |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
399748608 |
Modular degree for the optimal curve |
Δ |
1.1966960988192E+26 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178175291493,-28948051092295235] |
[a1,a2,a3,a4,a6] |
j |
53631338388425493377929891324208896/10259740216213857342057 |
j-invariant |
L |
4.2326272730526 |
L(r)(E,1)/r! |
Ω |
0.0073483136509423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41412f1 |
Quadratic twists by: -3 |