Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960ct |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
82539761883600 = 24 · 3 · 52 · 77 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13295,400800] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1225:1] |
Generators of the group modulo torsion |
j |
138074404864/43848525 |
j-invariant |
L |
4.601598293332 |
L(r)(E,1)/r! |
Ω |
0.56195709502815 |
Real period |
R |
2.047130605415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044948 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bt1 |
Quadratic twists by: -7 |