Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800do |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-163296000000000 = -1 · 214 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,628000] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
0.97369091747718 |
L(r)(E,1)/r! |
Ω |
0.48684548629214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800np1 6300h1 11200d1 20160cj1 |
Quadratic twists by: -4 8 -3 5 |