Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
47432r |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-71017008102005504 = -1 · 28 · 76 · 119 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86959,-8212763] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:65219:8] |
Generators of the group modulo torsion |
j |
1024 |
j-invariant |
L |
3.2399313865383 |
L(r)(E,1)/r! |
Ω |
0.18867844480978 |
Real period |
R |
2.1464636499648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864i1 968c1 47432d1 |
Quadratic twists by: -4 -7 -11 |