Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592bd |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
9.2872038876091E+18 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48079424,-128333771424] |
[a1,a2,a3,a4,a6] |
Generators |
[62061703375:16096146197652:912673] |
Generators of the group modulo torsion |
j |
6001662053378898396104834/4534767523246653 |
j-invariant |
L |
6.6490178543124 |
L(r)(E,1)/r! |
Ω |
0.057333672269478 |
Real period |
R |
16.567222294589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184j2 |
Quadratic twists by: -4 |