Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840p |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
254721600 = 26 · 32 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-446,-3696] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1200:1] |
Generators of the group modulo torsion |
j |
153646158016/3980025 |
j-invariant |
L |
7.6751224654624 |
L(r)(E,1)/r! |
Ω |
1.0403298665581 |
Real period |
R |
3.6887927149723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994885 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840c1 127680ej2 |
Quadratic twists by: -4 8 |