Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350cn |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-7122699339648750 = -1 · 2 · 311 · 54 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149292,22608166] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-751:1] |
Generators of the group modulo torsion |
j |
-807657836326225/15632810622 |
j-invariant |
L |
5.818645998338 |
L(r)(E,1)/r! |
Ω |
0.41957704947275 |
Real period |
R |
0.57782851460843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450ca1 64350eo1 |
Quadratic twists by: -3 5 |