Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064q |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1599156682752 = -1 · 215 · 3 · 23 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1823,-53567] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1420:1] [634:6105:8] |
Generators of the group modulo torsion |
j |
20435982904/48802389 |
j-invariant |
L |
11.434552210545 |
L(r)(E,1)/r! |
Ω |
0.43675604693819 |
Real period |
R |
26.180638579632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064y3 64032bh2 |
Quadratic twists by: -4 8 |