Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bo |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3473305594714368 = 28 · 312 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-506415,138681074] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:14994:1] [385:882:1] |
Generators of the group modulo torsion |
j |
654165538000/158193 |
j-invariant |
L |
11.717229798138 |
L(r)(E,1)/r! |
Ω |
0.43394855900457 |
Real period |
R |
1.6875891101735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456b2 15624v2 |
Quadratic twists by: -3 -7 |