Atkin-Lehner |
3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8109f |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28560 |
Modular degree for the optimal curve |
Δ |
154098972879381 = 36 · 175 · 533 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13563,-113650] |
[a1,a2,a3,a4,a6] |
j |
378497895469056/211384050589 |
j-invariant |
L |
0.47500656809314 |
L(r)(E,1)/r! |
Ω |
0.47500656809314 |
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 |
129744y1 901e1 |
Quadratic twists by: -4 -3 |