Atkin-Lehner |
7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
45227k |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-760130189 = -1 · 77 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 0 -1 7- 0 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,162,-1102] |
[a1,a2,a3,a4,a6] |
Generators |
[16:65:1] |
Generators of the group modulo torsion |
j |
4019679/6461 |
j-invariant |
L |
2.1114561028653 |
L(r)(E,1)/r! |
Ω |
0.84251056192523 |
Real period |
R |
1.2530739662449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6461a1 |
Quadratic twists by: -7 |