Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160bu |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
337239435018240 = 215 · 34 · 5 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24001,-1117919] |
[a1,a2,a3,a4,a6] |
j |
46663776432008/10291730805 |
j-invariant |
L |
1.5583917925477 |
L(r)(E,1)/r! |
Ω |
0.38959794841495 |
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 |
68160cx4 34080bf3 |
Quadratic twists by: -4 8 |