Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576f |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6509622881828864 = -1 · 214 · 78 · 413 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ -3 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,46191,668977] |
[a1,a2,a3,a4,a6] |
Generators |
[79:2192:1] |
Generators of the group modulo torsion |
j |
115393712/68921 |
j-invariant |
L |
7.5682925239562 |
L(r)(E,1)/r! |
Ω |
0.25829515136573 |
Real period |
R |
4.8834910670276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000182141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576by2 8036a2 128576bh2 |
Quadratic twists by: -4 8 -7 |