Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848o |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-4396858454016 = -1 · 212 · 310 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 1 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,100816] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-324:1] |
Generators of the group modulo torsion |
j |
3511808/1472499 |
j-invariant |
L |
5.1944663514122 |
L(r)(E,1)/r! |
Ω |
0.6032388157839 |
Real period |
R |
1.0763702202626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848u1 35616t1 |
Quadratic twists by: -4 -3 |