Atkin-Lehner |
3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877c |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-902139 = -1 · 3 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
-2 3+ 2 7+ -3 7 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-82,-264] |
[a1,a2,a3,a4,a6] |
j |
-170979328/2499 |
j-invariant |
L |
1.5835380606699 |
L(r)(E,1)/r! |
Ω |
0.79176856634419 |
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 |
128877l1 |
Quadratic twists by: -19 |