Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584bb |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
59171472 = 24 · 37 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1064,13005] |
[a1,a2,a3,a4,a6] |
Generators |
[22:27:1] [-5:135:1] |
Generators of the group modulo torsion |
j |
8333678094592/3698217 |
j-invariant |
L |
9.0393209992499 |
L(r)(E,1)/r! |
Ω |
1.9459690747601 |
Real period |
R |
0.33179652957248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168s1 121752f1 |
Quadratic twists by: -4 -3 |