Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640j |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-662599168000 = -1 · 212 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,919,-37975] |
[a1,a2,a3,a4,a6] |
j |
20933297216/161767375 |
j-invariant |
L |
2.7087912333141 |
L(r)(E,1)/r! |
Ω |
0.45146520555234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640h1 12320n1 123200f1 |
Quadratic twists by: -4 8 5 |