Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5520r |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7800422400 = 216 · 32 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1480,22000] |
[a1,a2,a3,a4,a6] |
Generators |
[2:138:1] |
Generators of the group modulo torsion |
j |
87587538121/1904400 |
j-invariant |
L |
3.3879775944582 |
L(r)(E,1)/r! |
Ω |
1.3148974945664 |
Real period |
R |
1.2883048330605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
690f2 22080cm2 16560bp2 27600cw2 |
Quadratic twists by: -4 8 -3 5 |