Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87856l |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1878482169856 = -1 · 212 · 176 · 19 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 3 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3083,3939] |
[a1,a2,a3,a4,a6] |
j |
32768/19 |
j-invariant |
L |
0.50048346493651 |
L(r)(E,1)/r! |
Ω |
0.50048346640392 |
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 |
5491a1 304e1 |
Quadratic twists by: -4 17 |