Atkin-Lehner |
2- 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170u |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
2048 |
Product of Tamagawa factors cp |
Δ |
1005293386506240000 = 216 · 34 · 54 · 134 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-267930,22833252] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:2808:1] |
Generators of the group modulo torsion |
j |
2127099696822852354721/1005293386506240000 |
j-invariant |
L |
11.479208208415 |
L(r)(E,1)/r! |
Ω |
0.24772514249047 |
Real period |
R |
1.4480777078441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
120510f2 |
Quadratic twists by: -3 |