Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586bd |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
503360 |
Modular degree for the optimal curve |
Δ |
-16929696046528782 = -1 · 2 · 317 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11- -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18490,6180243] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
0.58518213370709 |
L(r)(E,1)/r! |
Ω |
0.29259108672845 |
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 |
26862b1 666b1 |
Quadratic twists by: -3 -11 |