Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840ba |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6066420272640000 = 212 · 312 · 54 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-386576,-92307840] |
[a1,a2,a3,a4,a6] |
j |
1559802282754777489/1481059636875 |
j-invariant |
L |
1.5318120555384 |
L(r)(E,1)/r! |
Ω |
0.19147650694231 |
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 |
1365d3 87360gz4 65520do4 109200gk4 |
Quadratic twists by: -4 8 -3 5 |