Atkin-Lehner |
2+ 3+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608d |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13931520 |
Modular degree for the optimal curve |
Δ |
-2.8267540648299E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -1 -3 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34731267,82831174015] |
[a1,a2,a3,a4,a6] |
j |
-10725112229747198671657728/654341218710619396349 |
j-invariant |
L |
0.76916930770392 |
L(r)(E,1)/r! |
Ω |
0.096146166676436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85608o1 |
Quadratic twists by: -3 |