Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48416c |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
1646144 = 26 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41,80] |
[a1,a2,a3,a4,a6] |
j |
119095488/25721 |
j-invariant |
L |
2.5157403404593 |
L(r)(E,1)/r! |
Ω |
2.5157403403009 |
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 |
48416d1 96832v1 |
Quadratic twists by: -4 8 |