Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080cm |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
499227033600 = 222 · 32 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5921,170079] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:225:1] |
Generators of the group modulo torsion |
j |
87587538121/1904400 |
j-invariant |
L |
6.5480760712699 |
L(r)(E,1)/r! |
Ω |
0.92977293497313 |
Real period |
R |
3.5213307598909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22080h2 5520r2 66240fu2 110400gi2 |
Quadratic twists by: -4 8 -3 5 |