Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424k |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-1108024589312 = -1 · 210 · 196 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 4 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1805,-41154] |
[a1,a2,a3,a4,a6] |
j |
13500/23 |
j-invariant |
L |
4.1192520515422 |
L(r)(E,1)/r! |
Ω |
0.45769467231622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
184c1 |
Quadratic twists by: -19 |