Atkin-Lehner |
2- 3+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54168d |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-15163573248 = -1 · 210 · 38 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23984,-1421700] |
[a1,a2,a3,a4,a6] |
Generators |
[110536:946323:512] |
Generators of the group modulo torsion |
j |
-1490070132160708/14808177 |
j-invariant |
L |
5.8940609377561 |
L(r)(E,1)/r! |
Ω |
0.19181712933813 |
Real period |
R |
7.6818751251898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108336e1 |
Quadratic twists by: -4 |