Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gf |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
9.6224799211776E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6867372,5070166864] |
[a1,a2,a3,a4,a6] |
Generators |
[693:25375:1] |
Generators of the group modulo torsion |
j |
749700798525056164/201409316015625 |
j-invariant |
L |
8.4779265716702 |
L(r)(E,1)/r! |
Ω |
0.12075367993765 |
Real period |
R |
2.1940135122774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971419 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520cw4 20880i3 27840dh4 |
Quadratic twists by: -4 8 -3 |