Atkin-Lehner |
7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227c |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
-283885985503858283 = -1 · 74 · 13 · 717 |
Discriminant |
Eigenvalues |
1 0 0 7+ -3 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-565567,-165563196] |
[a1,a2,a3,a4,a6] |
Generators |
[6080:467198:1] |
Generators of the group modulo torsion |
j |
-8332669703199515625/118236562059083 |
j-invariant |
L |
5.3464536093518 |
L(r)(E,1)/r! |
Ω |
0.086972517018782 |
Real period |
R |
8.7818441184355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45227h2 |
Quadratic twists by: -7 |