Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ex |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
16711680000 = 219 · 3 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 5 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-7137] |
[a1,a2,a3,a4,a6] |
j |
390625/102 |
j-invariant |
L |
5.4347287255976 |
L(r)(E,1)/r! |
Ω |
0.90578812302317 |
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 |
81600hn1 2550y1 81600m1 |
Quadratic twists by: -4 8 5 |