Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128m |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
18177375338496 = 230 · 34 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23937,1418625] |
[a1,a2,a3,a4,a6] |
Generators |
[79:120:1] |
Generators of the group modulo torsion |
j |
5786435182177/69341184 |
j-invariant |
L |
4.8500291271487 |
L(r)(E,1)/r! |
Ω |
0.69219274275412 |
Real period |
R |
3.5033805092004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128br1 1254i1 120384bc1 |
Quadratic twists by: -4 8 -3 |