Atkin-Lehner |
2+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328i |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-4769072 = -1 · 24 · 73 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-850,9539] |
[a1,a2,a3,a4,a6] |
j |
-4244832000000/298067 |
j-invariant |
L |
6.953810465422 |
L(r)(E,1)/r! |
Ω |
2.3179368643246 |
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 |
48664g1 |
Quadratic twists by: -4 |