Atkin-Lehner |
2+ 13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40664c |
Isogeny class |
Conductor |
40664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843968 |
Modular degree for the optimal curve |
Δ |
4.2952486268563E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20847226,-36635695431] |
[a1,a2,a3,a4,a6] |
j |
62625117397206465740224512/2684530391785191157 |
j-invariant |
L |
0.14130860162155 |
L(r)(E,1)/r! |
Ω |
0.070654300823577 |
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 |
81328e1 |
Quadratic twists by: -4 |