Atkin-Lehner |
2- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54050n |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
742400 |
Modular degree for the optimal curve |
Δ |
26305054000000000 = 210 · 59 · 234 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -1 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-632888,193372281] |
[a1,a2,a3,a4,a6] |
Generators |
[535:-3143:1] |
Generators of the group modulo torsion |
j |
14354044876113389/13468187648 |
j-invariant |
L |
8.3491078459421 |
L(r)(E,1)/r! |
Ω |
0.37389992710903 |
Real period |
R |
0.27912240818527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54050c1 |
Quadratic twists by: 5 |