Atkin-Lehner |
2- 3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
54120k |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22156226848800000 = 28 · 34 · 55 · 112 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1343836,600013540] |
[a1,a2,a3,a4,a6] |
Generators |
[-1016:30258:1] |
Generators of the group modulo torsion |
j |
1048390033402326483664/86547761128125 |
j-invariant |
L |
5.2280756272327 |
L(r)(E,1)/r! |
Ω |
0.36398451798375 |
Real period |
R |
1.7954320063486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240l2 |
Quadratic twists by: -4 |