Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
22720bg |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
18325043200000000 = 217 · 58 · 713 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -2 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67468,-1754608] |
[a1,a2,a3,a4,a6] |
Generators |
[24582:710000:27] |
Generators of the group modulo torsion |
j |
259123794463602/139808984375 |
j-invariant |
L |
8.8865172061198 |
L(r)(E,1)/r! |
Ω |
0.3155237045617 |
Real period |
R |
1.1735142079716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22720e1 5680e1 113600cp1 |
Quadratic twists by: -4 8 5 |