Atkin-Lehner |
2- 3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306x |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
17136000 |
Modular degree for the optimal curve |
Δ |
-9.8051132591328E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5376562,47881988228] |
[a1,a2,a3,a4,a6] |
j |
-2464031870942113/140559836577792 |
j-invariant |
L |
3.493630811344 |
L(r)(E,1)/r! |
Ω |
0.072783968611032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102306m1 |
Quadratic twists by: 17 |