Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cc |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
44932174848 = 210 · 34 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4157,-101283] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3465:1] |
Generators of the group modulo torsion |
j |
7760117512192/43879077 |
j-invariant |
L |
6.4517912553792 |
L(r)(E,1)/r! |
Ω |
0.59476268644799 |
Real period |
R |
2.7119183002398 |
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 |
78144w1 19536l1 |
Quadratic twists by: -4 8 |