Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544g |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
958732972032 = 212 · 3 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3200,52416] |
[a1,a2,a3,a4,a6] |
Generators |
[10:146:1] [18:18:1] |
Generators of the group modulo torsion |
j |
885012508801/234065667 |
j-invariant |
L |
5.5342572907341 |
L(r)(E,1)/r! |
Ω |
0.8236549643761 |
Real period |
R |
3.3595725941664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2409e2 115632bc2 |
Quadratic twists by: -4 -3 |