Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136n |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-1860527626187046912 = -1 · 217 · 321 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 3 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,307192,-3589392] |
[a1,a2,a3,a4,a6] |
j |
782694090431984375/454230377487072 |
j-invariant |
L |
2.8147226146655 |
L(r)(E,1)/r! |
Ω |
0.15637347847157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8142c1 |
Quadratic twists by: -4 |