Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080y |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2632642560000 = 215 · 35 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9601,350399] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:840:1] [-43:828:1] |
Generators of the group modulo torsion |
j |
2987228332808/80341875 |
j-invariant |
L |
7.8533305088076 |
L(r)(E,1)/r! |
Ω |
0.80755417578677 |
Real period |
R |
0.48624171258586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080i2 11040c2 66240dc2 110400be2 |
Quadratic twists by: -4 8 -3 5 |