Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480h |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
55582031250000 = 24 · 33 · 512 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9951,128340] |
[a1,a2,a3,a4,a6] |
Generators |
[4146660:12122076:42875] |
Generators of the group modulo torsion |
j |
6811575123933184/3473876953125 |
j-invariant |
L |
9.3554796637462 |
L(r)(E,1)/r! |
Ω |
0.55462052811765 |
Real period |
R |
11.245502253446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63240a1 |
Quadratic twists by: -4 |