Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bi |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
488179718553600 = 217 · 311 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-374988,88377712] |
[a1,a2,a3,a4,a6] |
Generators |
[366:400:1] |
Generators of the group modulo torsion |
j |
61029297062498/5109075 |
j-invariant |
L |
7.601625750753 |
L(r)(E,1)/r! |
Ω |
0.50037175070383 |
Real period |
R |
1.8989945334852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fh2 10440i2 27840by2 |
Quadratic twists by: -4 8 -3 |