Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cl |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3.1055349720992E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,634320,-184755553] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5931:1] |
Generators of the group modulo torsion |
j |
122837590611/135150652 |
j-invariant |
L |
8.3444633002936 |
L(r)(E,1)/r! |
Ω |
0.1126298245316 |
Real period |
R |
3.0869796014643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31850bi2 4550y2 |
Quadratic twists by: 5 -7 |