Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576w |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
4 |
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 |
[663024061940913816025204236683502882464:2660467768178901893857491893368434396672804:41178620241700585563640980516011] |
Generators of the group modulo torsion |
j |
-3317746634020925825536/425118155892651 |
j-invariant |
L |
7.3534412984805 |
L(r)(E,1)/r! |
Ω |
0.029186519293889 |
Real period |
R |
62.98662427366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576x1 36192c1 |
Quadratic twists by: -4 -3 |