Atkin-Lehner |
3- 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69615s |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.3842068018482E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3753482,22588206] |
[a1,a2,a3,a4,a6] |
j |
8022303494868395314009/4642258987446136875 |
j-invariant |
L |
0.95410974380768 |
L(r)(E,1)/r! |
Ω |
0.11926371668075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205a4 |
Quadratic twists by: -3 |