Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cw |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.7826288938923E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5820492,-7201244176] |
[a1,a2,a3,a4,a6] |
j |
-456452240483695684/204761413948725 |
j-invariant |
L |
3.0443013135923 |
L(r)(E,1)/r! |
Ω |
0.047567207725059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520gf3 10440d4 27840d3 |
Quadratic twists by: -4 8 -3 |