Atkin-Lehner |
2+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450a |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1524096 |
Modular degree for the optimal curve |
Δ |
-7499681136640000000 = -1 · 221 · 57 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,479850,31692500] |
[a1,a2,a3,a4,a6] |
Generators |
[349505:23085035:2197] |
Generators of the group modulo torsion |
j |
782021637123203231/479979592744960 |
j-invariant |
L |
5.6810636619685 |
L(r)(E,1)/r! |
Ω |
0.14479442267178 |
Real period |
R |
9.8088440797633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090l1 |
Quadratic twists by: 5 |