Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328o |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-168371948519424 = -1 · 215 · 34 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2248,623700] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:240:1] |
Generators of the group modulo torsion |
j |
306591054407/41106432744 |
j-invariant |
L |
7.8097460966807 |
L(r)(E,1)/r! |
Ω |
0.4406769580551 |
Real period |
R |
2.2152695852163 |
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 |
3666a4 117312ce3 87984bg3 |
Quadratic twists by: -4 8 -3 |