Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
89012y |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
5397840 |
Modular degree for the optimal curve |
Δ |
-4.1963316953064E+22 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22318121,41754319628] |
[a1,a2,a3,a4,a6] |
Generators |
[2408:44506:1] |
Generators of the group modulo torsion |
j |
-11015019273109504/375974556419 |
j-invariant |
L |
7.5612437113254 |
L(r)(E,1)/r! |
Ω |
0.11374903826426 |
Real period |
R |
0.73858926867448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012b1 |
Quadratic twists by: 17 |