Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bd |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
1485483145361600 = 26 · 52 · 78 · 115 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-218736,39259210] |
[a1,a2,a3,a4,a6] |
j |
18084500649301589056/23210674146275 |
j-invariant |
L |
0.47664238115941 |
L(r)(E,1)/r! |
Ω |
0.47664238115955 |
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 |
24640bp1 12320h2 123200ft1 |
Quadratic twists by: -4 8 5 |