Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247q |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2481076579941 = 37 · 176 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1956006,-1052450573] |
[a1,a2,a3,a4,a6] |
Generators |
[-1203361601256940725337836168:601000352082326894010239149:1490695013770451780935168] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
10.124268088874 |
L(r)(E,1)/r! |
Ω |
0.12766063451615 |
Real period |
R |
39.653054131965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40749d4 423c3 |
Quadratic twists by: -3 17 |