Atkin-Lehner |
2- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144i |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-286558976 = -1 · 28 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 1 -3 2 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,911] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-22:1] [10:29:1] |
Generators of the group modulo torsion |
j |
-524288/841 |
j-invariant |
L |
10.097304470024 |
L(r)(E,1)/r! |
Ω |
1.5539567344454 |
Real period |
R |
0.81222535401159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14036a1 56144k1 |
Quadratic twists by: -4 -11 |