Atkin-Lehner |
2+ 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bl |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.2302026102586E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7652651,-8102904802] |
[a1,a2,a3,a4,a6] |
j |
3172044912000633463969/20673296705655000 |
j-invariant |
L |
2.1793569006484 |
L(r)(E,1)/r! |
Ω |
0.090806537524442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570r3 |
Quadratic twists by: 5 |