Atkin-Lehner |
2- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
56108d |
Isogeny class |
Conductor |
56108 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
228384 |
Modular degree for the optimal curve |
Δ |
89913102991504 = 24 · 138 · 832 |
Discriminant |
Eigenvalues |
2- -1 -2 1 -5 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57854,-5317391] |
[a1,a2,a3,a4,a6] |
Generators |
[620:-14027:1] |
Generators of the group modulo torsion |
j |
1640833792/6889 |
j-invariant |
L |
2.9918340106992 |
L(r)(E,1)/r! |
Ω |
0.30791105070741 |
Real period |
R |
0.53980849404313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56108a1 |
Quadratic twists by: 13 |