Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040p |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-113369414400 = -1 · 28 · 36 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1044,-10044] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-270:1] |
Generators of the group modulo torsion |
j |
491099153456/442849275 |
j-invariant |
L |
3.349575392406 |
L(r)(E,1)/r! |
Ω |
0.57779619070358 |
Real period |
R |
0.72464465981635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080q2 |
Quadratic twists by: -4 |