Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600db |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15524784000000000 = -1 · 213 · 36 · 59 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32325,-5561750] |
[a1,a2,a3,a4,a6] |
Generators |
[405:8600:1] |
Generators of the group modulo torsion |
j |
80062991/332750 |
j-invariant |
L |
4.950034253672 |
L(r)(E,1)/r! |
Ω |
0.19890962683313 |
Real period |
R |
3.1107306949405 |
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 |
4950bj2 4400r2 7920bf2 |
Quadratic twists by: -4 -3 5 |