Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320b |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
406093824000000 = 221 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41921,-3144255] |
[a1,a2,a3,a4,a6] |
Generators |
[241:832:1] |
Generators of the group modulo torsion |
j |
31080575499121/1549125000 |
j-invariant |
L |
4.3916141699572 |
L(r)(E,1)/r! |
Ω |
0.33468218173461 |
Real period |
R |
3.2804361941202 |
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 |
16320cl2 510g2 48960da2 81600dy2 |
Quadratic twists by: -4 8 -3 5 |