Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200hm |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
758912000 = 210 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253,723] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:20:1] [-2:35:1] |
Generators of the group modulo torsion |
j |
14047232/5929 |
j-invariant |
L |
8.4288115763781 |
L(r)(E,1)/r! |
Ω |
1.4440664216215 |
Real period |
R |
1.4592146614249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200da1 30800x1 123200gw1 |
Quadratic twists by: -4 8 5 |