Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bh |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
1.4681330164949E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-937953,-296778111] |
[a1,a2,a3,a4,a6] |
Generators |
[178114795123085:-1780996370857984:155460517633] |
Generators of the group modulo torsion |
j |
348118804674069625/56004830035968 |
j-invariant |
L |
5.5905006593606 |
L(r)(E,1)/r! |
Ω |
0.15507918437274 |
Real period |
R |
18.024664889666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128w1 10032p1 120384dq1 |
Quadratic twists by: -4 8 -3 |