Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440y |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
15805625000000 = 26 · 510 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6346,-37896] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:220:1] |
Generators of the group modulo torsion |
j |
441684720404416/246962890625 |
j-invariant |
L |
4.2499198239194 |
L(r)(E,1)/r! |
Ω |
0.57452345801322 |
Real period |
R |
2.4657651859951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440d1 66880bh1 |
Quadratic twists by: -4 8 |