Atkin-Lehner |
2+ 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448f |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
5301504 = 28 · 33 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -6 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204,1116] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3:1] |
Generators of the group modulo torsion |
j |
135834624/767 |
j-invariant |
L |
5.4904076536957 |
L(r)(E,1)/r! |
Ω |
2.429604459749 |
Real period |
R |
1.1298974246618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55224m1 110448e1 |
Quadratic twists by: -4 -3 |