Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012p |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.4092590814693E+19 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399976,205186532] |
[a1,a2,a3,a4,a6] |
Generators |
[-19329:301427:27] |
Generators of the group modulo torsion |
j |
-1145228156928/2280643211 |
j-invariant |
L |
15.38534896505 |
L(r)(E,1)/r! |
Ω |
0.19837671754716 |
Real period |
R |
6.4630185924239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236b1 |
Quadratic twists by: 17 |