Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450z |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5471175501773437500 = 22 · 33 · 59 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-853617,282141041] |
[a1,a2,a3,a4,a6] |
Generators |
[80:14601:1] |
Generators of the group modulo torsion |
j |
736314327/58564 |
j-invariant |
L |
3.0439070341874 |
L(r)(E,1)/r! |
Ω |
0.23558486748174 |
Real period |
R |
1.6150798790217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450es2 54450er2 4950bc2 |
Quadratic twists by: -3 5 -11 |