Atkin-Lehner |
3- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745p |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2234202875296875 = 312 · 56 · 72 · 172 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33930,-775899] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1257:1] |
Generators of the group modulo torsion |
j |
5925908788843681/3064750171875 |
j-invariant |
L |
7.6300740494903 |
L(r)(E,1)/r! |
Ω |
0.37211704134381 |
Real period |
R |
2.5630625507348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915t2 |
Quadratic twists by: -3 |