Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728x |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-93180926099456 = -1 · 229 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 0 -3 3 -5 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74248684,-246252843696] |
[a1,a2,a3,a4,a6] |
Generators |
[459047475484229:259170362347775541:1439069689] |
Generators of the group modulo torsion |
j |
-172683193545007865807697/355457024 |
j-invariant |
L |
3.8629928792431 |
L(r)(E,1)/r! |
Ω |
0.025715641868334 |
Real period |
R |
25.036596396738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728k1 16432g1 |
Quadratic twists by: -4 8 |