Atkin-Lehner |
2+ 3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942g |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1424074675716 = 22 · 36 · 74 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36164,2631420] |
[a1,a2,a3,a4,a6] |
Generators |
[67:684:1] |
Generators of the group modulo torsion |
j |
5230845079186579273/1424074675716 |
j-invariant |
L |
3.9351884970816 |
L(r)(E,1)/r! |
Ω |
0.83291999506256 |
Real period |
R |
1.1811424027544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56826bd2 |
Quadratic twists by: -3 |