Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080z |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1894523539046400 = 214 · 38 · 52 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19034643,-31964301358] |
[a1,a2,a3,a4,a6] |
j |
255429141422627949841/634472100 |
j-invariant |
L |
0.86735045983601 |
L(r)(E,1)/r! |
Ω |
0.072279205609221 |
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 |
8010d3 21360i3 |
Quadratic twists by: -4 -3 |