Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bx |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-392000000000 = -1 · 212 · 59 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-38863] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1000:1] |
Generators of the group modulo torsion |
j |
-153664/125 |
j-invariant |
L |
3.9938224400218 |
L(r)(E,1)/r! |
Ω |
0.36291092724165 |
Real period |
R |
1.3756207585072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200bt1 78400hh1 7840j1 39200bl1 |
Quadratic twists by: -4 8 5 -7 |