Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cc |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1148191732334592 = -1 · 216 · 316 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25983,234657] |
[a1,a2,a3,a4,a6] |
Generators |
[1027551:-19582660:9261] |
Generators of the group modulo torsion |
j |
29600220537212/17520015447 |
j-invariant |
L |
6.4517912553792 |
L(r)(E,1)/r! |
Ω |
0.297381343224 |
Real period |
R |
10.847673200959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144w3 19536l4 |
Quadratic twists by: -4 8 |