Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450bq |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6.8265040674816E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1625620,12544891247] |
[a1,a2,a3,a4,a6] |
j |
41709358422320399/5993089990656000 |
j-invariant |
L |
5.4112154459452 |
L(r)(E,1)/r! |
Ω |
0.084550241342912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9150j1 5490e1 |
Quadratic twists by: -3 5 |