Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cw |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
76860088123392 = 222 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-499233,-135935649] |
[a1,a2,a3,a4,a6] |
j |
52492168638015625/293197968 |
j-invariant |
L |
3.2329300764677 |
L(r)(E,1)/r! |
Ω |
0.17960722647042 |
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 |
25536m1 6384q1 76608ef1 |
Quadratic twists by: -4 8 -3 |