Atkin-Lehner |
2+ 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54264c |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
255257856 = 28 · 32 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-123] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:14:1] [-4:21:1] |
Generators of the group modulo torsion |
j |
1814078464/997101 |
j-invariant |
L |
8.228001156989 |
L(r)(E,1)/r! |
Ω |
1.432406534756 |
Real period |
R |
0.23934083880699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108528f1 |
Quadratic twists by: -4 |