Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63240k |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3281776560 = -1 · 24 · 34 · 5 · 17 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-611,6234] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:93:1] |
Generators of the group modulo torsion |
j |
-1579202996224/205111035 |
j-invariant |
L |
7.5271036333195 |
L(r)(E,1)/r! |
Ω |
1.3712127409311 |
Real period |
R |
0.22872404018413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480a1 |
Quadratic twists by: -4 |