Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87856i |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-382349312 = -1 · 212 · 173 · 19 |
Discriminant |
Eigenvalues |
2- -1 2 -2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-997,-11827] |
[a1,a2,a3,a4,a6] |
j |
-5451776/19 |
j-invariant |
L |
0.84937373157384 |
L(r)(E,1)/r! |
Ω |
0.42468689665599 |
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 |
5491e1 87856h1 |
Quadratic twists by: -4 17 |