Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470bo |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
50900887539000 = 23 · 312 · 53 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-100255,12205025] |
[a1,a2,a3,a4,a6] |
Generators |
[1510:235:8] |
Generators of the group modulo torsion |
j |
111440257480183313521/50900887539000 |
j-invariant |
L |
9.9231639173149 |
L(r)(E,1)/r! |
Ω |
0.62340687930068 |
Real period |
R |
2.6529393688136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121410g2 |
Quadratic twists by: -3 |