Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352x |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2281623552 = 212 · 34 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1040,13056] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:112:1] [-6:138:1] |
Generators of the group modulo torsion |
j |
30400540561/557037 |
j-invariant |
L |
4.5780890391445 |
L(r)(E,1)/r! |
Ω |
1.4590792596228 |
Real period |
R |
0.78441404210076 |
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 |
897f2 57408dm2 43056br2 |
Quadratic twists by: -4 8 -3 |