Atkin-Lehner |
2- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7106c |
Isogeny class |
Conductor |
7106 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
23002065152 = 28 · 114 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 4 11- -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5084,-139760] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:32:1] |
Generators of the group modulo torsion |
j |
14532678861183937/23002065152 |
j-invariant |
L |
4.1770356401478 |
L(r)(E,1)/r! |
Ω |
0.56544323081126 |
Real period |
R |
0.4616992710916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56848d1 63954g1 78166g1 120802e1 |
Quadratic twists by: -4 -3 -11 17 |