Atkin-Lehner |
3- 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745x |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9864889965 = 38 · 5 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4005,-96444] |
[a1,a2,a3,a4,a6] |
Generators |
[96:582:1] |
Generators of the group modulo torsion |
j |
9746860268881/13532085 |
j-invariant |
L |
6.7540362927759 |
L(r)(E,1)/r! |
Ω |
0.60017797066056 |
Real period |
R |
2.8133473041868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915q2 |
Quadratic twists by: -3 |