Atkin-Lehner |
5+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975a |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
25628662109375 = 514 · 13 · 17 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ -4 0 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-560192,161521341] |
[a1,a2,a3,a4,a6] |
Generators |
[27732:-11883:64] |
Generators of the group modulo torsion |
j |
1244270571188445009/1640234375 |
j-invariant |
L |
3.597257797776 |
L(r)(E,1)/r! |
Ω |
0.56789040194118 |
Real period |
R |
6.3344225957993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20995b4 |
Quadratic twists by: 5 |