Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696cf |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
59581979951104 = 222 · 13 · 1033 |
Discriminant |
Eigenvalues |
2- 3 1 -4 4 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9772,-17968] |
[a1,a2,a3,a4,a6] |
j |
393671672289/227287216 |
j-invariant |
L |
6.2899750363468 |
L(r)(E,1)/r! |
Ω |
0.52416460133836 |
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 |
85696y1 21424k1 |
Quadratic twists by: -4 8 |