Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672r |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
427331584 = 212 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436,3360] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:48:1] |
Generators of the group modulo torsion |
j |
2237810112/104329 |
j-invariant |
L |
4.1567446938385 |
L(r)(E,1)/r! |
Ω |
1.6572426313865 |
Real period |
R |
2.5082294017267 |
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 |
20672m2 10336k1 |
Quadratic twists by: -4 8 |