Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400br |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
1836089118500000000 = 28 · 59 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583508,-158496988] |
[a1,a2,a3,a4,a6] |
Generators |
[5051156:304297938:1331] |
Generators of the group modulo torsion |
j |
46689225424/3901625 |
j-invariant |
L |
11.652177916908 |
L(r)(E,1)/r! |
Ω |
0.17365633430396 |
Real period |
R |
8.3873833011484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480i1 18200r1 |
Quadratic twists by: 5 -7 |