Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910bg |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
205321027500 = 22 · 37 · 54 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9572,362171] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:871:1] |
Generators of the group modulo torsion |
j |
133033714470649/281647500 |
j-invariant |
L |
11.711975857784 |
L(r)(E,1)/r! |
Ω |
1.0036908587003 |
Real period |
R |
1.4586134460265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970e2 |
Quadratic twists by: -3 |