Atkin-Lehner |
2+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3538a |
Isogeny class |
Conductor |
3538 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
86288282 = 2 · 294 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-668,-6466] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:299:27] |
Generators of the group modulo torsion |
j |
32992767973017/86288282 |
j-invariant |
L |
1.9583991816258 |
L(r)(E,1)/r! |
Ω |
0.9391678809143 |
Real period |
R |
4.1704986327242 |
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 |
28304a4 113216f4 31842bb4 88450k4 |
Quadratic twists by: -4 8 -3 5 |