Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850p |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1.0103407687962E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3421610901,-77034823979552] |
[a1,a2,a3,a4,a6] |
Generators |
[-11542804:8732793:343] |
Generators of the group modulo torsion |
j |
283527735060700812496005281089/6466180920295449600000 |
j-invariant |
L |
6.8378362075993 |
L(r)(E,1)/r! |
Ω |
0.019739788436536 |
Real period |
R |
3.0928451546775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770u2 |
Quadratic twists by: 5 |