Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5264h |
Isogeny class |
Conductor |
5264 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1.7023307964102E+20 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -1 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1872136,-1169449484] |
[a1,a2,a3,a4,a6] |
Generators |
[3108:151802:1] |
Generators of the group modulo torsion |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
4.285687208633 |
L(r)(E,1)/r! |
Ω |
0.063741040066563 |
Real period |
R |
4.8025654206879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
658a1 21056v1 47376bq1 36848s1 |
Quadratic twists by: -4 8 -3 -7 |