Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224k |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
13453356324096 = 28 · 39 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28188,1812996] |
[a1,a2,a3,a4,a6] |
Generators |
[88:118:1] |
Generators of the group modulo torsion |
j |
491569855488/2669927 |
j-invariant |
L |
5.9643415703353 |
L(r)(E,1)/r! |
Ω |
0.71092125396375 |
Real period |
R |
0.69913293690463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448a1 55224a1 |
Quadratic twists by: -4 -3 |