Atkin-Lehner |
3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705j |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.2935760044189E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8708587,9884188636] |
[a1,a2,a3,a4,a6] |
Generators |
[1752:2014:1] |
Generators of the group modulo torsion |
j |
3026030815665395929/1364501953125 |
j-invariant |
L |
5.0588625432031 |
L(r)(E,1)/r! |
Ω |
0.20438235180711 |
Real period |
R |
2.0626628209179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345c4 |
Quadratic twists by: 17 |