Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600w |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-405771987500000000 = -1 · 28 · 511 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11+ 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,126467,25333063] |
[a1,a2,a3,a4,a6] |
Generators |
[543:15950:1] |
Generators of the group modulo torsion |
j |
55923189948416/101442996875 |
j-invariant |
L |
5.3667664155244 |
L(r)(E,1)/r! |
Ω |
0.20568258296067 |
Real period |
R |
2.1743723938175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31900b1 25520k1 |
Quadratic twists by: -4 5 |