Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bj |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
177182720000000 = 217 · 57 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5906090675,-174702161796750] |
[a1,a2,a3,a4,a6] |
Generators |
[1234035943953102:-669251424731690724:3921887033] |
Generators of the group modulo torsion |
j |
355995140004443961140387841/2768480 |
j-invariant |
L |
5.3564343598804 |
L(r)(E,1)/r! |
Ω |
0.017221640815776 |
Real period |
R |
25.919105778478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150a4 11440s3 |
Quadratic twists by: -4 5 |