Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440k |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1639256573961602000 = 24 · 53 · 3110 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347882,49423269] |
[a1,a2,a3,a4,a6] |
j |
327890958336/115440125 |
j-invariant |
L |
1.4674146157122 |
L(r)(E,1)/r! |
Ω |
0.24456910261623 |
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 |
76880i1 1240g1 |
Quadratic twists by: -4 -31 |