Atkin-Lehner |
3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877p |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3753792 |
Modular degree for the optimal curve |
Δ |
-2.5750903165656E+20 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2348493,-1586082666] |
[a1,a2,a3,a4,a6] |
j |
-233644479625/42000693 |
j-invariant |
L |
1.6908422726162 |
L(r)(E,1)/r! |
Ω |
0.060387219328753 |
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 |
128877f1 |
Quadratic twists by: -19 |