Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936q |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3663360 |
Modular degree for the optimal curve |
Δ |
-1.0045416979586E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1330788,-762687020] |
[a1,a2,a3,a4,a6] |
Generators |
[21260:3095190:1] |
Generators of the group modulo torsion |
j |
-1396634760092363776/538270371419883 |
j-invariant |
L |
10.927715470538 |
L(r)(E,1)/r! |
Ω |
0.06896320025407 |
Real period |
R |
1.9807149773249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36312c1 |
Quadratic twists by: -3 |