Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230r |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
-1.8056689501963E+23 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12850792,-27059332309] |
[a1,a2,a3,a4,a6] |
Generators |
[4374549:241652321:729] |
Generators of the group modulo torsion |
j |
-48624287362698592089/37409165148160000 |
j-invariant |
L |
9.973282119427 |
L(r)(E,1)/r! |
Ω |
0.038586412426022 |
Real period |
R |
7.1796157342701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023305 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8710b1 |
Quadratic twists by: 13 |