Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660z |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-4.0751632892609E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11- -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3834530,3050235025] |
[a1,a2,a3,a4,a6] |
Generators |
[2160:-69575:1] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
5.2523662949931 |
L(r)(E,1)/r! |
Ω |
0.16562931505754 |
Real period |
R |
0.17617541157794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060f1 |
Quadratic twists by: -11 |