Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251m |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-90363160130602491 = -1 · 310 · 1110 · 59 |
Discriminant |
Eigenvalues |
0 3- -3 0 11- 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87846,10428052] |
[a1,a2,a3,a4,a6] |
Generators |
[124:4819:1] |
Generators of the group modulo torsion |
j |
3964928/4779 |
j-invariant |
L |
3.5040653924164 |
L(r)(E,1)/r! |
Ω |
0.22697231107172 |
Real period |
R |
3.8595736363842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417c1 64251n1 |
Quadratic twists by: -3 -11 |