Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208be |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5688950063104 = 216 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9196,-319440] |
[a1,a2,a3,a4,a6] |
Generators |
[22044:625328:27] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
5.7533197450698 |
L(r)(E,1)/r! |
Ω |
0.4895539276383 |
Real period |
R |
5.8760837368817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54208bx2 6776c2 448a2 |
Quadratic twists by: -4 8 -11 |