Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bp |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-21746682343750000 = -1 · 24 · 510 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,7109537] |
[a1,a2,a3,a4,a6] |
Generators |
[5952:106379:27] |
Generators of the group modulo torsion |
j |
-6400/1183 |
j-invariant |
L |
11.383185349473 |
L(r)(E,1)/r! |
Ω |
0.31204535384597 |
Real period |
R |
4.5599082224859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400z1 18200v1 |
Quadratic twists by: 5 -7 |