Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bp |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-2186398512123750000 = -1 · 24 · 37 · 57 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131813,-73498383] |
[a1,a2,a3,a4,a6] |
j |
-16209836167330441/139929504775920 |
j-invariant |
L |
6.1554877108306 |
L(r)(E,1)/r! |
Ω |
0.1099194234059 |
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 |
9690e1 |
Quadratic twists by: 5 |