Atkin-Lehner |
2+ 3- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814u |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3219966007824384 = -1 · 212 · 39 · 73 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33633,-3609603] |
[a1,a2,a3,a4,a6] |
Generators |
[1842:77703:1] |
Generators of the group modulo torsion |
j |
-5771653747855633/4416962973696 |
j-invariant |
L |
6.9988609606712 |
L(r)(E,1)/r! |
Ω |
0.17062032467158 |
Real period |
R |
0.56972346295585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938v1 |
Quadratic twists by: -3 |