Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420bj |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
10326240968400 = 24 · 36 · 52 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7121,-174420] |
[a1,a2,a3,a4,a6] |
j |
21217755136/5485725 |
j-invariant |
L |
3.1778942270718 |
L(r)(E,1)/r! |
Ω |
0.52964903592225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060c1 |
Quadratic twists by: -7 |