Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878m |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1317004121664 = 26 · 38 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4068,84240] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:351:1] |
Generators of the group modulo torsion |
j |
10214075575873/1806590016 |
j-invariant |
L |
3.2757518141392 |
L(r)(E,1)/r! |
Ω |
0.81759488352179 |
Real period |
R |
1.0016427084368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10626t2 |
Quadratic twists by: -3 |