Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160bb |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
295438434735718400 = 215 · 52 · 7 · 616 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-383080,87561072] |
[a1,a2,a3,a4,a6] |
j |
1517865654542204521/72128524105400 |
j-invariant |
L |
3.6456507792695 |
L(r)(E,1)/r! |
Ω |
0.303804231605 |
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 |
4270d4 |
Quadratic twists by: -4 |