Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450ex |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
15160921875000000 = 26 · 36 · 512 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-838355,295604147] |
[a1,a2,a3,a4,a6] |
Generators |
[399:4750:1] |
Generators of the group modulo torsion |
j |
4298149261979/1000000 |
j-invariant |
L |
9.2388246943694 |
L(r)(E,1)/r! |
Ω |
0.38353764228101 |
Real period |
R |
1.0036851315107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6050c2 10890s2 54450bf2 |
Quadratic twists by: -3 5 -11 |