Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1776j |
Isogeny class |
Conductor |
1776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-1047527424 = -1 · 220 · 33 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,248,500] |
[a1,a2,a3,a4,a6] |
j |
410172407/255744 |
j-invariant |
L |
2.8899146098404 |
L(r)(E,1)/r! |
Ω |
0.96330486994679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
222c1 7104m1 5328v1 44400w1 |
Quadratic twists by: -4 8 -3 5 |