Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190c |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9042172061894400 = -1 · 28 · 3 · 52 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18878,-4690572] |
[a1,a2,a3,a4,a6] |
j |
-420021471169/5104070400 |
j-invariant |
L |
0.70099067982093 |
L(r)(E,1)/r! |
Ω |
0.1752476699637 |
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 |
4290q1 |
Quadratic twists by: -11 |