Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800b |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
8943955200 = 28 · 39 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,75330] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:324:1] |
Generators of the group modulo torsion |
j |
33750000/71 |
j-invariant |
L |
8.9259569615223 |
L(r)(E,1)/r! |
Ω |
1.3031362404743 |
Real period |
R |
1.71239901214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127800bf1 127800bh1 |
Quadratic twists by: -3 5 |