Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600x |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
28480000000000 = 215 · 510 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-529550208,4690212113588] |
[a1,a2,a3,a4,a6] |
Generators |
[569634590:2663632:42875] |
Generators of the group modulo torsion |
j |
410568050484022158025/712 |
j-invariant |
L |
6.7708551908964 |
L(r)(E,1)/r! |
Ω |
0.20484420594216 |
Real period |
R |
8.26342043671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450k2 35600bj1 |
Quadratic twists by: -4 5 |