Atkin-Lehner |
2+ 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bj |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
1.4530849122797E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-495009414,-4238919959180] |
[a1,a2,a3,a4,a6] |
Generators |
[-12844:8402:1] [-822636:479293:64] |
Generators of the group modulo torsion |
j |
18400793829905200527581279329/19932577671875000000 |
j-invariant |
L |
8.7217227490033 |
L(r)(E,1)/r! |
Ω |
0.03200709200789 |
Real period |
R |
2.2707787040541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790i2 |
Quadratic twists by: -3 |