Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150bm |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-716494065792187500 = -1 · 22 · 33 · 58 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325088,82012781] |
[a1,a2,a3,a4,a6] |
j |
-14317849/2700 |
j-invariant |
L |
3.2893042798944 |
L(r)(E,1)/r! |
Ω |
0.27410868988537 |
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 |
10830i1 54150v1 |
Quadratic twists by: 5 -19 |