Atkin-Lehner |
3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251i |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-2738277579715227 = -1 · 39 · 119 · 59 |
Discriminant |
Eigenvalues |
0 3- 2 2 11+ -5 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31944,3341808] |
[a1,a2,a3,a4,a6] |
j |
-2097152/1593 |
j-invariant |
L |
1.6691358867245 |
L(r)(E,1)/r! |
Ω |
0.41728397328488 |
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 |
21417i1 64251j1 |
Quadratic twists by: -3 -11 |