Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554q |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
21781640826 = 2 · 316 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11- 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5328,150862] |
[a1,a2,a3,a4,a6] |
j |
22947463187713/29878794 |
j-invariant |
L |
2.4104452451001 |
L(r)(E,1)/r! |
Ω |
1.2052226225501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432bn1 1518l1 113850ev1 50094cm1 |
Quadratic twists by: -4 -3 5 -11 |