Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672p |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
179929088 = 215 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,8959] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:40:1] [-17:136:1] |
Generators of the group modulo torsion |
j |
1953125000/5491 |
j-invariant |
L |
5.1941122068869 |
L(r)(E,1)/r! |
Ω |
1.8076329479715 |
Real period |
R |
1.4367165117001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672s2 10336f2 |
Quadratic twists by: -4 8 |