Atkin-Lehner |
2+ 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614a |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-1931764687699968 = -1 · 226 · 35 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16949,-1929539] |
[a1,a2,a3,a4,a6] |
j |
404518006398493/1451363401728 |
j-invariant |
L |
0.95146556854863 |
L(r)(E,1)/r! |
Ω |
0.23786638914153 |
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 |
64614j1 |
Quadratic twists by: -11 |