Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576x |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
3.1631331307479E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44598531,114606150766] |
[a1,a2,a3,a4,a6] |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
1.6677752282851 |
L(r)(E,1)/r! |
Ω |
0.13898126902376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152x1 76608bf1 3192g1 67032cf1 |
Quadratic twists by: -4 8 -3 -7 |