Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bw |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
20781250000 = 24 · 510 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,6412] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
409600/133 |
j-invariant |
L |
3.6277146063595 |
L(r)(E,1)/r! |
Ω |
1.1193713829291 |
Real period |
R |
3.2408498749392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300i1 53200dy1 |
Quadratic twists by: -4 5 |