Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864a |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
670488842529792 = 210 · 37 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40888,2941984] |
[a1,a2,a3,a4,a6] |
Generators |
[206:1794:1] |
Generators of the group modulo torsion |
j |
7382814913718500/654774260283 |
j-invariant |
L |
3.3804752610105 |
L(r)(E,1)/r! |
Ω |
0.49762077658408 |
Real period |
R |
3.396637982256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3432c2 27456ci2 20592g2 75504e2 |
Quadratic twists by: -4 8 -3 -11 |