Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374l |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2272553731812 = 22 · 3 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32787293,-72264146451] |
[a1,a2,a3,a4,a6] |
j |
3897987105329876947288524625/2272553731812 |
j-invariant |
L |
5.1104386975183 |
L(r)(E,1)/r! |
Ω |
0.063091835771831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bq5 31122m5 72618bk5 |
Quadratic twists by: -4 -3 -7 |