Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bc |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33914880 = 215 · 32 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44161,3557279] |
[a1,a2,a3,a4,a6] |
Generators |
[137:312:1] |
Generators of the group modulo torsion |
j |
290670065844488/1035 |
j-invariant |
L |
6.3826260604728 |
L(r)(E,1)/r! |
Ω |
1.3817259060897 |
Real period |
R |
2.3096570862363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080a4 11040j3 66240cg4 110400a4 |
Quadratic twists by: -4 8 -3 5 |