Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120w |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
951468312974400000 = 29 · 36 · 55 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5613560,-5120898600] |
[a1,a2,a3,a4,a6] |
Generators |
[-1370:450:1] |
Generators of the group modulo torsion |
j |
7916055336451592/385003125 |
j-invariant |
L |
8.2810046922068 |
L(r)(E,1)/r! |
Ω |
0.098082431442116 |
Real period |
R |
1.4071505248511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120k2 6240bc2 |
Quadratic twists by: -4 13 |