Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188b |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-80160536585756016 = -1 · 24 · 39 · 133 · 415 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-596457,-177825807] |
[a1,a2,a3,a4,a6] |
j |
-74516055318634752/254536073597 |
j-invariant |
L |
2.0610911493836 |
L(r)(E,1)/r! |
Ω |
0.085878797890983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752u1 19188f1 |
Quadratic twists by: -4 -3 |