Atkin-Lehner |
2+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55480f |
Isogeny class |
Conductor |
55480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
843296000 = 28 · 53 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48660,-4115308] |
[a1,a2,a3,a4,a6] |
Generators |
[191454:-5499845:216] |
Generators of the group modulo torsion |
j |
49774738337778256/3294125 |
j-invariant |
L |
9.0952157117896 |
L(r)(E,1)/r! |
Ω |
0.32144434251877 |
Real period |
R |
9.4316127849706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110960e2 |
Quadratic twists by: -4 |