Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48416d |
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] |
Generators |
[-3:4:1] [27:136:1] |
Generators of the group modulo torsion |
j |
119095488/25721 |
j-invariant |
L |
7.6527202172679 |
L(r)(E,1)/r! |
Ω |
1.9156306448205 |
Real period |
R |
3.9948829582366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416c1 96832w1 |
Quadratic twists by: -4 8 |