Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cj |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-113639424000000000 = -1 · 226 · 3 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-724833,238317537] |
[a1,a2,a3,a4,a6] |
Generators |
[5267:377500:1] |
Generators of the group modulo torsion |
j |
-82256120549/221952 |
j-invariant |
L |
7.2816574046973 |
L(r)(E,1)/r! |
Ω |
0.33392093565585 |
Real period |
R |
5.4516328743247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ka1 2550p1 81600eq1 |
Quadratic twists by: -4 8 5 |