Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bp |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
10774130982912 = 222 · 35 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6209,104673] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:512:1] |
Generators of the group modulo torsion |
j |
100999381393/41100048 |
j-invariant |
L |
2.5634111682153 |
L(r)(E,1)/r! |
Ω |
0.65324463983247 |
Real period |
R |
1.96206062115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bc1 16368z1 |
Quadratic twists by: -4 8 |