Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bt |
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 |
[18:125:1] |
Generators of the group modulo torsion |
j |
-153664/125 |
j-invariant |
L |
6.915598116101 |
L(r)(E,1)/r! |
Ω |
0.87054077035068 |
Real period |
R |
0.99300319290552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200bx1 78400hu1 7840m1 39200bm1 |
Quadratic twists by: -4 8 5 -7 |