Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584q |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-243504 = -1 · 24 · 32 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
2048/15219 |
j-invariant |
L |
5.7972784588353 |
L(r)(E,1)/r! |
Ω |
1.4444134124433 |
Real period |
R |
1.0033966745419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168be1 121752i1 |
Quadratic twists by: -4 -3 |