Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bb |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
30356480 = 210 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341,-2299] |
[a1,a2,a3,a4,a6] |
j |
4294967296/29645 |
j-invariant |
L |
2.222365685985 |
L(r)(E,1)/r! |
Ω |
1.1111828429926 |
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 |
24640r1 6160m1 123200fz1 |
Quadratic twists by: -4 8 5 |