Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1690d |
Isogeny class |
Conductor |
1690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
17576000 = 26 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68,-112] |
[a1,a2,a3,a4,a6] |
j |
16194277/8000 |
j-invariant |
L |
1.7455127945305 |
L(r)(E,1)/r! |
Ω |
1.7455127945305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13520v1 54080bw1 15210bu1 8450w1 |
Quadratic twists by: -4 8 -3 5 |