Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bx |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.7763671875E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-211618408,1184255755188] |
[a1,a2,a3,a4,a6] |
Generators |
[11868:586950:1] |
Generators of the group modulo torsion |
j |
16375858190544687071329/9025573730468750 |
j-invariant |
L |
3.9112777615258 |
L(r)(E,1)/r! |
Ω |
0.090789407856488 |
Real period |
R |
5.3850964747302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550c6 7280o6 |
Quadratic twists by: -4 5 |