Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200dr |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34432128000000 = 213 · 38 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175608,28264788] |
[a1,a2,a3,a4,a6] |
j |
9357915116017/538002 |
j-invariant |
L |
4.9505304715864 |
L(r)(E,1)/r! |
Ω |
0.61881630898952 |
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 |
6150i3 1968i3 |
Quadratic twists by: -4 5 |