Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178l |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1676912868 = 22 · 39 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33995,2420983] |
[a1,a2,a3,a4,a6] |
Generators |
[119:164:1] |
Generators of the group modulo torsion |
j |
220732142812875/85196 |
j-invariant |
L |
7.6795611168221 |
L(r)(E,1)/r! |
Ω |
1.2129175190277 |
Real period |
R |
3.1657392181863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20178b2 |
Quadratic twists by: -3 |