Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008df |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
36904454801457152 = 217 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83265,-339521] |
[a1,a2,a3,a4,a6] |
Generators |
[399:-5488:1] [-273:1456:1] |
Generators of the group modulo torsion |
j |
487086912609698/281558645641 |
j-invariant |
L |
5.5782381308554 |
L(r)(E,1)/r! |
Ω |
0.30736487992519 |
Real period |
R |
0.56714333021734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008o2 24752k2 |
Quadratic twists by: -4 8 |