Atkin-Lehner |
7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227h |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
-3.3398902308543E+22 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27712792,56843601807] |
[a1,a2,a3,a4,a6] |
Generators |
[545678:44158535:343] |
Generators of the group modulo torsion |
j |
-8332669703199515625/118236562059083 |
j-invariant |
L |
4.886139174558 |
L(r)(E,1)/r! |
Ω |
0.11691526347223 |
Real period |
R |
5.9703058552793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45227c2 |
Quadratic twists by: -7 |