Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
85608w |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
463318714368 = 211 · 38 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15483,-740810] |
[a1,a2,a3,a4,a6] |
Generators |
[388870:21671982:125] |
Generators of the group modulo torsion |
j |
274935976562/310329 |
j-invariant |
L |
8.2492257893221 |
L(r)(E,1)/r! |
Ω |
0.42802113015003 |
Real period |
R |
9.6364702608949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28536d2 |
Quadratic twists by: -3 |