Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352bk |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
97765287579648 = 212 · 38 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15392,-565452] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:360:1] |
Generators of the group modulo torsion |
j |
98463924947233/23868478413 |
j-invariant |
L |
5.9342122441248 |
L(r)(E,1)/r! |
Ω |
0.43618556659173 |
Real period |
R |
1.7005985234947 |
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 |
897b3 57408ci3 43056bq3 |
Quadratic twists by: -4 8 -3 |