Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296r |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-270364807419128576 = -1 · 28 · 710 · 113 · 532 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33064,-25123684] |
[a1,a2,a3,a4,a6] |
Generators |
[443997:9798481:729] |
Generators of the group modulo torsion |
j |
-15615285306974208/1056112528980971 |
j-invariant |
L |
8.6632265886384 |
L(r)(E,1)/r! |
Ω |
0.13637916531838 |
Real period |
R |
2.6467955986425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16324f1 |
Quadratic twists by: -4 |