Atkin-Lehner |
2- 3- 11+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526q |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-6.0233989276806E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203871476,1181060215255] |
[a1,a2,a3,a4,a6] |
Generators |
[-11441:1425533:1] |
Generators of the group modulo torsion |
j |
-1285480767159000221263452153/82625499693835222585472 |
j-invariant |
L |
7.9644067287531 |
L(r)(E,1)/r! |
Ω |
0.061442039099365 |
Real period |
R |
2.3147270313865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9614c2 |
Quadratic twists by: -3 |