Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384x |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
31715712 |
Modular degree for the optimal curve |
Δ |
8.3538954837259E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12518002552,539072659028948] |
[a1,a2,a3,a4,a6] |
Generators |
[74822:4618944:1] |
Generators of the group modulo torsion |
j |
52962548103538888769964565222393/20395252645815168 |
j-invariant |
L |
8.8349353751033 |
L(r)(E,1)/r! |
Ω |
0.080626788515577 |
Real period |
R |
0.48060597812816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798a1 |
Quadratic twists by: -4 |