Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bm |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3045488250248437500 = 22 · 320 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7484088,7876982781] |
[a1,a2,a3,a4,a6] |
Generators |
[14751345:-1113253:9261] |
Generators of the group modulo torsion |
j |
2967019126712371825849/194911248015900 |
j-invariant |
L |
9.511586035044 |
L(r)(E,1)/r! |
Ω |
0.24025681488992 |
Real period |
R |
9.8973113867494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770f3 |
Quadratic twists by: 5 |