Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640n |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1467402420224000 = 230 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41761,2732961] |
[a1,a2,a3,a4,a6] |
j |
30726058889161/5597696000 |
j-invariant |
L |
0.91017543517689 |
L(r)(E,1)/r! |
Ω |
0.45508760365255 |
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 |
120640cf1 3770b1 |
Quadratic twists by: -4 8 |