Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128744c |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1211637117821971456 = -1 · 210 · 74 · 1110 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190091,61824950] |
[a1,a2,a3,a4,a6] |
Generators |
[-473:6776:1] |
Generators of the group modulo torsion |
j |
-418747580388/667907779 |
j-invariant |
L |
3.5387991178753 |
L(r)(E,1)/r! |
Ω |
0.24509691283816 |
Real period |
R |
1.8047958588829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999190489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704e4 |
Quadratic twists by: -11 |