Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bd |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-327005671239843750 = -1 · 2 · 35 · 58 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49807,27182306] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:4117:1] |
Generators of the group modulo torsion |
j |
116149984977671/2779502343750 |
j-invariant |
L |
4.7082306636959 |
L(r)(E,1)/r! |
Ω |
0.22856029632067 |
Real period |
R |
0.12874695265014 |
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 |
129360ex3 48510cv3 80850ei3 330a4 |
Quadratic twists by: -4 -3 5 -7 |