Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3216d |
Isogeny class |
Conductor |
3216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-136241077026816 = -1 · 224 · 33 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12808,-68496] |
[a1,a2,a3,a4,a6] |
j |
56724909592967/33261981696 |
j-invariant |
L |
0.68596521566051 |
L(r)(E,1)/r! |
Ω |
0.34298260783026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
402d2 12864bn2 9648l2 80400dd2 |
Quadratic twists by: -4 8 -3 5 |