Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8526m |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
32313929876928 = 26 · 36 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116278,-15307405] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:147:1] |
Generators of the group modulo torsion |
j |
1477843225692625/274663872 |
j-invariant |
L |
5.4768704439566 |
L(r)(E,1)/r! |
Ω |
0.25854133704189 |
Real period |
R |
0.88265550791934 |
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 |
68208cf2 25578u2 1218k2 |
Quadratic twists by: -4 -3 -7 |