Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8742i |
Isogeny class |
Conductor |
8742 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
2350146688128 = 27 · 32 · 314 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5203,-124639] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:161:1] |
Generators of the group modulo torsion |
j |
15577236252168625/2350146688128 |
j-invariant |
L |
7.5858513939157 |
L(r)(E,1)/r! |
Ω |
0.56781606121562 |
Real period |
R |
0.95426418015865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69936o2 26226d2 |
Quadratic twists by: -4 -3 |