Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080be |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-423936000 = -1 · 214 · 32 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59,995] |
[a1,a2,a3,a4,a6] |
Generators |
[14:69:1] |
Generators of the group modulo torsion |
j |
1362944/25875 |
j-invariant |
L |
6.5112190726214 |
L(r)(E,1)/r! |
Ω |
1.2517964953987 |
Real period |
R |
2.6007498409505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22080bt1 2760c1 66240cj1 110400d1 |
Quadratic twists by: -4 8 -3 5 |