Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251n |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-51007648131 = -1 · 310 · 114 · 59 |
Discriminant |
Eigenvalues |
0 3- -3 0 11- -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,726,-7835] |
[a1,a2,a3,a4,a6] |
Generators |
[55:445:1] |
Generators of the group modulo torsion |
j |
3964928/4779 |
j-invariant |
L |
3.420093130184 |
L(r)(E,1)/r! |
Ω |
0.60383788039237 |
Real period |
R |
0.47199384156941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417d1 64251m1 |
Quadratic twists by: -3 -11 |