Atkin-Lehner |
7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227a |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78960 |
Modular degree for the optimal curve |
Δ |
69171847199 = 78 · 132 · 71 |
Discriminant |
Eigenvalues |
1 0 -3 7+ 0 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26861,1701146] |
[a1,a2,a3,a4,a6] |
Generators |
[86:104:1] [94:-34:1] |
Generators of the group modulo torsion |
j |
371804821353/11999 |
j-invariant |
L |
8.948323925311 |
L(r)(E,1)/r! |
Ω |
1.0237736796852 |
Real period |
R |
1.4567548965939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45227n1 |
Quadratic twists by: -7 |