Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480u |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12294374400 = 210 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1856,29700] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:210:1] |
Generators of the group modulo torsion |
j |
690862540036/12006225 |
j-invariant |
L |
5.4015616454163 |
L(r)(E,1)/r! |
Ω |
1.2685759991922 |
Real period |
R |
0.53224655527691 |
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 |
9240a2 73920fi2 55440bc2 92400x2 |
Quadratic twists by: -4 8 -3 5 |