Atkin-Lehner |
2+ 3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850b |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17577056250000 = 24 · 32 · 58 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6500,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:476:1] |
Generators of the group modulo torsion |
j |
1944232280641/1124931600 |
j-invariant |
L |
5.1302295315965 |
L(r)(E,1)/r! |
Ω |
0.58507175051494 |
Real period |
R |
2.1921369152721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770bg2 |
Quadratic twists by: 5 |