Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bl |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20663371957500 = 22 · 37 · 54 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10440068,-12981227893] |
[a1,a2,a3,a4,a6] |
j |
172625968037948066885881/28344817500 |
j-invariant |
L |
5.3753122836696 |
L(r)(E,1)/r! |
Ω |
0.083989254434837 |
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 |
16530o3 |
Quadratic twists by: -3 |