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 |
-8.0661300398583E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17432628,32898526864] |
[a1,a2,a3,a4,a6] |
Generators |
[9458:1021680:1] |
Generators of the group modulo torsion |
j |
6131614543963621918/8441658218716875 |
j-invariant |
L |
8.4779265716702 |
L(r)(E,1)/r! |
Ω |
0.060376839968823 |
Real period |
R |
4.3880270245548 |
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 |
83520cw5 20880i6 27840dh5 |
Quadratic twists by: -4 8 -3 |