Atkin-Lehner |
2- 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510q |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-17713971000000 = -1 · 26 · 36 · 56 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,450,202500] |
[a1,a2,a3,a4,a6] |
j |
10076296384799/17713971000000 |
j-invariant |
L |
6.4991605065656 |
L(r)(E,1)/r! |
Ω |
0.54159670888046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
124080bq2 46530k2 77550c2 |
Quadratic twists by: -4 -3 5 |