Atkin-Lehner |
3+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743a |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
405778577589 = 34 · 78 · 11 · 79 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 11+ 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16235,-790231] |
[a1,a2,a3,a4,a6] |
Generators |
[373:6701:1] |
Generators of the group modulo torsion |
j |
82096193536/70389 |
j-invariant |
L |
5.1608875260287 |
L(r)(E,1)/r! |
Ω |
0.42296711805946 |
Real period |
R |
6.1008140484416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743x1 |
Quadratic twists by: -7 |