Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248x |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
1622268011408 = 24 · 119 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 1 11+ 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7542,-247073] |
[a1,a2,a3,a4,a6] |
Generators |
[7179:608267:1] |
Generators of the group modulo torsion |
j |
1257728/43 |
j-invariant |
L |
5.4305157193205 |
L(r)(E,1)/r! |
Ω |
0.51337407399061 |
Real period |
R |
5.2890435961672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20812a1 83248t1 |
Quadratic twists by: -4 -11 |