Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14872a |
Isogeny class |
Conductor |
14872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-4069448716820554496 = -1 · 28 · 117 · 138 |
Discriminant |
Eigenvalues |
2+ 1 1 2 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-486945,162704387] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:16562:1] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
6.4053406243092 |
L(r)(E,1)/r! |
Ω |
0.23353757627151 |
Real period |
R |
3.4284314790858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744h1 118976be1 1144d1 |
Quadratic twists by: -4 8 13 |