Atkin-Lehner |
3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605m |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1027843429725 = 33 · 52 · 77 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49172,4176159] |
[a1,a2,a3,a4,a6] |
j |
111764245610809/8736525 |
j-invariant |
L |
1.6700111534494 |
L(r)(E,1)/r! |
Ω |
0.83500557672619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815u2 4515g2 |
Quadratic twists by: -3 -7 |