Atkin-Lehner |
2- 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298v |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28832475728 = 24 · 76 · 172 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-221628,40140736] |
[a1,a2,a3,a4,a6] |
Generators |
[270:-184:1] [1670:12983:8] |
Generators of the group modulo torsion |
j |
10233153213432625/245072 |
j-invariant |
L |
11.6585340938 |
L(r)(E,1)/r! |
Ω |
0.85641249545797 |
Real period |
R |
1.7016528477965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1802c2 |
Quadratic twists by: -7 |