Atkin-Lehner |
3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
4071a |
Isogeny class |
Conductor |
4071 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
456 |
Modular degree for the optimal curve |
Δ |
842697 = 33 · 232 · 59 |
Discriminant |
Eigenvalues |
1 3- 0 4 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-25] |
[a1,a2,a3,a4,a6] |
j |
1838265625/842697 |
j-invariant |
L |
3.3281667554776 |
L(r)(E,1)/r! |
Ω |
2.2187778369851 |
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 |
65136i1 12213a1 101775b1 93633g1 |
Quadratic twists by: -4 -3 5 -23 |