Atkin-Lehner |
3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3363f |
Isogeny class |
Conductor |
3363 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
101640 |
Modular degree for the optimal curve |
Δ |
6.407989966787E+19 |
Discriminant |
Eigenvalues |
1 3- 2 4 4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1043110,-140844421] |
[a1,a2,a3,a4,a6] |
j |
125520147312000770117593/64079899667869751073 |
j-invariant |
L |
4.3383173895891 |
L(r)(E,1)/r! |
Ω |
0.15775699598506 |
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 |
53808j1 10089f1 84075i1 63897d1 |
Quadratic twists by: -4 -3 5 -19 |