Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720a |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
10894835600000000 = 210 · 58 · 11 · 195 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9077363,-10526587838] |
[a1,a2,a3,a4,a6] |
Generators |
[150574320193871649:-12372315590394478556:18721506214377] |
Generators of the group modulo torsion |
j |
80779816936648490883876/10639487890625 |
j-invariant |
L |
4.961646540703 |
L(r)(E,1)/r! |
Ω |
0.08697804310106 |
Real period |
R |
28.522408436679 |
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 |
8360l1 66880do1 83600a1 |
Quadratic twists by: -4 8 5 |