Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576x |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10383360 |
Modular degree for the optimal curve |
Δ |
-1.269396011605E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -2 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44744088,115212520816] |
[a1,a2,a3,a4,a6] |
Generators |
[8588:603612:1] |
Generators of the group modulo torsion |
j |
-3317746634020925825536/425118155892651 |
j-invariant |
L |
3.6963448946949 |
L(r)(E,1)/r! |
Ω |
0.14744057551993 |
Real period |
R |
3.1337582081865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576w1 36192l1 |
Quadratic twists by: -4 -3 |