Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200bm |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
28302400000000 = 212 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7675,38250] |
[a1,a2,a3,a4,a6] |
j |
781229961/442225 |
j-invariant |
L |
2.2885822218071 |
L(r)(E,1)/r! |
Ω |
0.57214555552928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3325g2 10640z2 |
Quadratic twists by: -4 5 |