Atkin-Lehner |
2- 5+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
118450n |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-592250000 = -1 · 24 · 56 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 4 2 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288,2192] |
[a1,a2,a3,a4,a6] |
j |
-169112377/37904 |
j-invariant |
L |
6.2337808282167 |
L(r)(E,1)/r! |
Ω |
1.5584453784215 |
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 |
4738a1 |
Quadratic twists by: 5 |