Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
31600i |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-39500000000 = -1 · 28 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 5 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,9500] |
[a1,a2,a3,a4,a6] |
j |
221184/9875 |
j-invariant |
L |
6.9725169069827 |
L(r)(E,1)/r! |
Ω |
0.87156461337277 |
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 |
7900d1 126400bt1 6320f1 |
Quadratic twists by: -4 8 5 |