Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900h |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-16470000 = -1 · 24 · 33 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1125,14525] |
[a1,a2,a3,a4,a6] |
Generators |
[19:3:1] [5:95:1] |
Generators of the group modulo torsion |
j |
-583200000/61 |
j-invariant |
L |
9.6012304239068 |
L(r)(E,1)/r! |
Ω |
2.108785402032 |
Real period |
R |
0.25294261317584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54900g1 54900d1 |
Quadratic twists by: -3 5 |