Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67424a |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1015342870528 = 212 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10780,428064] |
[a1,a2,a3,a4,a6] |
j |
287496000/2107 |
j-invariant |
L |
1.7633517593767 |
L(r)(E,1)/r! |
Ω |
0.88167588210861 |
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 |
67424p2 9632d2 |
Quadratic twists by: -4 -7 |