Atkin-Lehner |
2+ 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550i |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.7360054576563E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6539875,-6390621875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1539:6431:1] |
Generators of the group modulo torsion |
j |
1979758117698975186481/17510434929000000 |
j-invariant |
L |
3.2616302382358 |
L(r)(E,1)/r! |
Ω |
0.09445804628505 |
Real period |
R |
4.3162419276155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11310n2 |
Quadratic twists by: 5 |