Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3762i |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-946687425371196102 = -1 · 2 · 330 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,121059,43885219] |
[a1,a2,a3,a4,a6] |
j |
269144439804255023/1298611008739638 |
j-invariant |
L |
1.6028207685629 |
L(r)(E,1)/r! |
Ω |
0.20035259607036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30096w5 120384s5 1254g6 94050df5 |
Quadratic twists by: -4 8 -3 5 |