Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480r |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16860539681280 = -1 · 29 · 318 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5973,-86366] |
[a1,a2,a3,a4,a6] |
j |
63139882168/45172485 |
j-invariant |
L |
1.5622328700994 |
L(r)(E,1)/r! |
Ω |
0.39055821752484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24480bi2 48960bv3 8160m4 122400ct2 |
Quadratic twists by: -4 8 -3 5 |