Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160u |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-15336000000000000 = -1 · 215 · 33 · 512 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60959,1413695] |
[a1,a2,a3,a4,a6] |
j |
764504691439672/468017578125 |
j-invariant |
L |
2.9089176591907 |
L(r)(E,1)/r! |
Ω |
0.24240980525419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160f3 34080i2 |
Quadratic twists by: -4 8 |