Atkin-Lehner |
7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227i |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
206976 |
Modular degree for the optimal curve |
Δ |
-89428556605661 = -1 · 713 · 13 · 71 |
Discriminant |
Eigenvalues |
1 0 -3 7- 0 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252016,-48634839] |
[a1,a2,a3,a4,a6] |
Generators |
[7492375224:-431010410739:2248091] |
Generators of the group modulo torsion |
j |
-15045990520540617/760130189 |
j-invariant |
L |
3.4091326452611 |
L(r)(E,1)/r! |
Ω |
0.10653961751253 |
Real period |
R |
15.999365892506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6461b1 |
Quadratic twists by: -7 |