Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360p |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
20505600000000 = 216 · 32 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13600,565748] |
[a1,a2,a3,a4,a6] |
Generators |
[26:480:1] |
Generators of the group modulo torsion |
j |
67922306042401/5006250000 |
j-invariant |
L |
5.5981658969336 |
L(r)(E,1)/r! |
Ω |
0.66856038509999 |
Real period |
R |
0.52334146078072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2670d1 85440bd1 64080u1 106800bj1 |
Quadratic twists by: -4 8 -3 5 |