Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bp |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-1.4951108582219E+21 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 1 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2506497,-1062071460] |
[a1,a2,a3,a4,a6] |
Generators |
[10472:1083316:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
2.8048674544061 |
L(r)(E,1)/r! |
Ω |
0.083256478989873 |
Real period |
R |
1.0527962766399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996421656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483w1 18207g1 7497j1 |
Quadratic twists by: -3 -7 17 |