Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54080bw |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
71991296000000 = 221 · 56 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37665,2771263] |
[a1,a2,a3,a4,a6] |
Generators |
[131:320:1] |
Generators of the group modulo torsion |
j |
10260751717/125000 |
j-invariant |
L |
4.5879683073466 |
L(r)(E,1)/r! |
Ω |
0.6171319668302 |
Real period |
R |
0.61952825785474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080dj2 1690d2 54080ba2 |
Quadratic twists by: -4 8 13 |