Atkin-Lehner |
2+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54560a |
Isogeny class |
Conductor |
54560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
333312 |
Modular degree for the optimal curve |
Δ |
8512350605000000 = 26 · 57 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90413,9475712] |
[a1,a2,a3,a4,a6] |
Generators |
[5452:401962:1] |
Generators of the group modulo torsion |
j |
1277133737601594816/133005478203125 |
j-invariant |
L |
4.0216961918434 |
L(r)(E,1)/r! |
Ω |
0.40084201016905 |
Real period |
R |
5.0165602529195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54560b1 109120bo2 |
Quadratic twists by: -4 8 |