Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bt |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2773230880000000000 = 214 · 510 · 7 · 195 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2000208,1085213588] |
[a1,a2,a3,a4,a6] |
Generators |
[1042:11552:1] |
Generators of the group modulo torsion |
j |
22125312720025/69330772 |
j-invariant |
L |
6.6582301717828 |
L(r)(E,1)/r! |
Ω |
0.25606124875343 |
Real period |
R |
1.3001245218127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650y2 53200eb1 |
Quadratic twists by: -4 5 |