Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600jz |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
-35956224000000000 = -1 · 218 · 35 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,9122463] |
[a1,a2,a3,a4,a6] |
Generators |
[33:3000:1] |
Generators of the group modulo torsion |
j |
-24389/70227 |
j-invariant |
L |
10.708433748373 |
L(r)(E,1)/r! |
Ω |
0.29430708781291 |
Real period |
R |
1.8192619530507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600cl1 20400ct1 81600hh1 |
Quadratic twists by: -4 8 5 |