Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019t |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2630065475583 = 34 · 7 · 136 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5327,-128142] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:61:1] |
Generators of the group modulo torsion |
j |
3463512697/544887 |
j-invariant |
L |
7.169192781221 |
L(r)(E,1)/r! |
Ω |
0.56475591702407 |
Real period |
R |
3.1735802079924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999703792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651c2 |
Quadratic twists by: 13 |