Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480u |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2906676264960 = 219 · 38 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-576961,-168874081] |
[a1,a2,a3,a4,a6] |
j |
81025909800741361/11088090 |
j-invariant |
L |
1.3858073744606 |
L(r)(E,1)/r! |
Ω |
0.17322592180758 |
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 |
12480bl5 390b5 37440cb6 62400z6 |
Quadratic twists by: -4 8 -3 5 |