Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dx |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
41708800000000 = 214 · 58 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -5 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8875,-83750] |
[a1,a2,a3,a4,a6] |
Generators |
[325:-5600:1] [-81:322:1] |
Generators of the group modulo torsion |
j |
48317985/26068 |
j-invariant |
L |
5.9132006101266 |
L(r)(E,1)/r! |
Ω |
0.5239126024849 |
Real period |
R |
0.31351712427682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650be1 53200bn1 |
Quadratic twists by: -4 5 |