Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89888j |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-4811616828772352 = -1 · 212 · 537 |
Discriminant |
Eigenvalues |
2- 3 2 -2 -6 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213484,38112512] |
[a1,a2,a3,a4,a6] |
j |
-11852352/53 |
j-invariant |
L |
3.4833754858432 |
L(r)(E,1)/r! |
Ω |
0.43542195151516 |
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 |
89888k1 1696d1 |
Quadratic twists by: -4 53 |