Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18612h |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1346828643072 = 28 · 39 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2847,17350] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:198:1] [-25:270:1] |
Generators of the group modulo torsion |
j |
13674725584/7216803 |
j-invariant |
L |
5.6961913265271 |
L(r)(E,1)/r! |
Ω |
0.75155229227236 |
Real period |
R |
0.63160290431514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448bs2 6204g2 |
Quadratic twists by: -4 -3 |