Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ci |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
19008000000000000 = 218 · 33 · 512 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4293675,-3424451750] |
[a1,a2,a3,a4,a6] |
Generators |
[105894705:11122868800:9261] |
Generators of the group modulo torsion |
j |
5066026756449723/11000000 |
j-invariant |
L |
4.8234216144133 |
L(r)(E,1)/r! |
Ω |
0.10487991317628 |
Real period |
R |
11.497486669128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950x1 39600cb3 7920x1 |
Quadratic twists by: -4 -3 5 |