Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720ba |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
93061120000 = 221 · 54 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -2 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1761,24961] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:200:1] [13:64:1] |
Generators of the group modulo torsion |
j |
2305199161/355000 |
j-invariant |
L |
5.9698232907171 |
L(r)(E,1)/r! |
Ω |
1.0251479335367 |
Real period |
R |
0.72792217291538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22720f1 5680g1 113600bx1 |
Quadratic twists by: -4 8 5 |