Atkin-Lehner |
2+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
54560d |
Isogeny class |
Conductor |
54560 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1153507520000000 = -1 · 212 · 57 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 11+ -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20525,-1980923] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:34100:1] |
Generators of the group modulo torsion |
j |
-233471794110976/281618046875 |
j-invariant |
L |
3.5477112875151 |
L(r)(E,1)/r! |
Ω |
0.19065136791679 |
Real period |
R |
0.22152822004813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54560e1 109120bd1 |
Quadratic twists by: -4 8 |