Atkin-Lehner |
2- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432i |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3349331965123493888 = -1 · 218 · 7 · 116 · 1013 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,161072,84409280] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:7744:1] |
Generators of the group modulo torsion |
j |
112829125394963375/817707999297728 |
j-invariant |
L |
3.9791349406051 |
L(r)(E,1)/r! |
Ω |
0.18279046403307 |
Real period |
R |
0.90703467984446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999498799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15554e2 |
Quadratic twists by: -4 |