Atkin-Lehner |
2- 3- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814bk |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1261568 |
Modular degree for the optimal curve |
Δ |
-1144911366144 = -1 · 211 · 37 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4497638,-3670217355] |
[a1,a2,a3,a4,a6] |
j |
-13802240354905772242201/1570523136 |
j-invariant |
L |
2.2807417484748 |
L(r)(E,1)/r! |
Ω |
0.051835040495618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938c1 |
Quadratic twists by: -3 |