Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530m |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
320144747038222500 = 22 · 312 · 54 · 194 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-198585,20522425] |
[a1,a2,a3,a4,a6] |
Generators |
[585:-10505:1] |
Generators of the group modulo torsion |
j |
1188055523119228561/439156031602500 |
j-invariant |
L |
1.9110447118468 |
L(r)(E,1)/r! |
Ω |
0.27918054573055 |
Real period |
R |
0.85564912215994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004286 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24510n2 |
Quadratic twists by: -3 |