Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440cl |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1912397732582400 = 210 · 37 · 52 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107427,-13388146] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:360:1] |
Generators of the group modulo torsion |
j |
183669299920516/2561832525 |
j-invariant |
L |
8.4368691721349 |
L(r)(E,1)/r! |
Ω |
0.26392947824023 |
Real period |
R |
1.9978985604026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999896413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480d4 |
Quadratic twists by: -3 |