Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cw |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
81885714186240000 = 222 · 310 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3974412,-3049671184] |
[a1,a2,a3,a4,a6] |
j |
36330796409313601/428490000 |
j-invariant |
L |
3.4216187601581 |
L(r)(E,1)/r! |
Ω |
0.10692558639052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240fm2 2070f2 22080d2 |
Quadratic twists by: -4 8 -3 |