Atkin-Lehner |
5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065j |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
654336 |
Modular degree for the optimal curve |
Δ |
-10499751360413315 = -1 · 5 · 73 · 118 · 134 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51260,-2098745] |
[a1,a2,a3,a4,a6] |
j |
521532458530551/367625480915 |
j-invariant |
L |
1.3736262572323 |
L(r)(E,1)/r! |
Ω |
0.22893770890913 |
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 |
65065t1 |
Quadratic twists by: 13 |