Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cg |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-16750340075520 = -1 · 212 · 316 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4692,-232544] |
[a1,a2,a3,a4,a6] |
j |
-3825694144/5609655 |
j-invariant |
L |
1.0960378762507 |
L(r)(E,1)/r! |
Ω |
0.27400946906135 |
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 |
54720bw1 27360h1 18240bi1 |
Quadratic twists by: -4 8 -3 |