Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032u |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
877779271499157504 = 212 · 32 · 478 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1661904,823947264] |
[a1,a2,a3,a4,a6] |
Generators |
[302750:2273594:343] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
5.3088142930786 |
L(r)(E,1)/r! |
Ω |
0.28078368156538 |
Real period |
R |
9.4535662606522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029954 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6627g2 2256j2 |
Quadratic twists by: -4 -47 |