Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480q |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
321226560000 = 29 · 310 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,-32794] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:90:1] |
Generators of the group modulo torsion |
j |
3638052872/860625 |
j-invariant |
L |
4.0232664874138 |
L(r)(E,1)/r! |
Ω |
0.70066766782264 |
Real period |
R |
0.71775584063916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24480p3 48960en4 8160i3 122400du3 |
Quadratic twists by: -4 8 -3 5 |