Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gu |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-3384115200 = -1 · 215 · 35 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,130977] |
[a1,a2,a3,a4,a6] |
Generators |
[41:8:1] |
Generators of the group modulo torsion |
j |
-15243125000/4131 |
j-invariant |
L |
4.9319383751518 |
L(r)(E,1)/r! |
Ω |
1.3779729050067 |
Real period |
R |
0.89478145031997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600jc1 40800bc1 81600jk1 |
Quadratic twists by: -4 8 5 |