Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024h |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
225282409132032 = 212 · 36 · 75 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-402381953,-3106612642191] |
[a1,a2,a3,a4,a6] |
Generators |
[231164367707884870135184525160752180379050158263154395:13815847911248282044994538617945235007591762181316290076:9312183212354089476666116425827812118490637205037] |
Generators of the group modulo torsion |
j |
1759054308025803683462056000/55000588167 |
j-invariant |
L |
5.587341117337 |
L(r)(E,1)/r! |
Ω |
0.033708539105578 |
Real period |
R |
82.877236237492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024e2 90048t1 |
Quadratic twists by: -4 8 |