Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720i |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-7047789130874880000 = -1 · 219 · 39 · 54 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406056,-161830800] |
[a1,a2,a3,a4,a6] |
j |
-1807684483034720809/1720651643280000 |
j-invariant |
L |
0.72816114833334 |
L(r)(E,1)/r! |
Ω |
0.091020143541659 |
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 |
3090c1 98880by1 74160bo1 123600cf1 |
Quadratic twists by: -4 8 -3 5 |