Atkin-Lehner |
2- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1054a |
Isogeny class |
Conductor |
1054 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-539648 = -1 · 210 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,0,35] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
3375/539648 |
j-invariant |
L |
3.1921574658681 |
L(r)(E,1)/r! |
Ω |
2.315153685659 |
Real period |
R |
0.55152407127728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8432g1 33728b1 9486b1 26350d1 |
Quadratic twists by: -4 8 -3 5 |