Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480i |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1040774054400 = 29 · 314 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41043,-3200042] |
[a1,a2,a3,a4,a6] |
j |
20485356001928/2788425 |
j-invariant |
L |
1.3416935093844 |
L(r)(E,1)/r! |
Ω |
0.33542337734612 |
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 |
24480h4 48960fo4 8160r3 122400dt4 |
Quadratic twists by: -4 8 -3 5 |