Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320v |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4824000000000000 = 215 · 32 · 512 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46561,-1961761] |
[a1,a2,a3,a4,a6] |
j |
340682638495688/147216796875 |
j-invariant |
L |
2.704151327367 |
L(r)(E,1)/r! |
Ω |
0.33801891722832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320c3 32160r3 |
Quadratic twists by: -4 8 |