Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89888l |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-609800192 = -1 · 212 · 533 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212,0] |
[a1,a2,a3,a4,a6] |
Generators |
[165620:6028932:125] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
9.4457270701118 |
L(r)(E,1)/r! |
Ω |
0.97179185076605 |
Real period |
R |
9.7199076652501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89888l2 89888e2 |
Quadratic twists by: -4 53 |