Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200ea |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4358144000 = -1 · 218 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,352,1792] |
[a1,a2,a3,a4,a6] |
Generators |
[2:50:1] |
Generators of the group modulo torsion |
j |
9393931/8512 |
j-invariant |
L |
5.8716187893585 |
L(r)(E,1)/r! |
Ω |
0.90182395049569 |
Real period |
R |
1.6277064903178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bc1 53200dk1 |
Quadratic twists by: -4 5 |