Atkin-Lehner |
2- 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100572g |
Isogeny class |
Conductor |
100572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
16239561984 = 28 · 32 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12557,-537399] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:3:1] |
Generators of the group modulo torsion |
j |
2959907725312/219501 |
j-invariant |
L |
5.4123467549764 |
L(r)(E,1)/r! |
Ω |
0.45100061227808 |
Real period |
R |
2.0001254336116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100572l2 |
Quadratic twists by: 17 |