Atkin-Lehner |
3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128877l |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-42441924039459 = -1 · 3 · 72 · 17 · 198 |
Discriminant |
Eigenvalues |
2 3- 2 7+ -3 -7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-29722,1987141] |
[a1,a2,a3,a4,a6] |
j |
-170979328/2499 |
j-invariant |
L |
3.8660794556023 |
L(r)(E,1)/r! |
Ω |
0.64434693242934 |
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 |
128877c1 |
Quadratic twists by: -19 |