Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cx |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
418283520000000000 = 224 · 3 · 510 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-865188,-308257008] |
[a1,a2,a3,a4,a6] |
Generators |
[7532:644684:1] |
Generators of the group modulo torsion |
j |
4583900469011516281/26770145280000 |
j-invariant |
L |
11.491853133839 |
L(r)(E,1)/r! |
Ω |
0.15659383988209 |
Real period |
R |
6.1155306399755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530m1 |
Quadratic twists by: 5 |