Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4026i |
Isogeny class |
Conductor |
4026 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
4937300515763352 = 23 · 32 · 113 · 616 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42603,159705] |
[a1,a2,a3,a4,a6] |
j |
8551551109433208625/4937300515763352 |
j-invariant |
L |
3.3065963998848 |
L(r)(E,1)/r! |
Ω |
0.3673995999872 |
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 |
32208l4 128832f4 12078m4 100650e4 |
Quadratic twists by: -4 8 -3 5 |