Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cb |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
116865000000 = 26 · 32 · 57 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6563,-206719] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:38:1] |
Generators of the group modulo torsion |
j |
2000852317801/7479360 |
j-invariant |
L |
8.3757132672819 |
L(r)(E,1)/r! |
Ω |
0.53054380295626 |
Real period |
R |
1.3155861998836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130q1 |
Quadratic twists by: 5 |