Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376be |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.2937154266769E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1426965,-2208860134] |
[a1,a2,a3,a4,a6] |
Generators |
[29810:1873557:8] |
Generators of the group modulo torsion |
j |
107615839766636375/768160655474688 |
j-invariant |
L |
4.1811989146599 |
L(r)(E,1)/r! |
Ω |
0.072548025363527 |
Real period |
R |
7.2041914540391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922q3 15792r3 |
Quadratic twists by: -4 -3 |