Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990t |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
3739439369689920 = 26 · 310 · 5 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58851,-4646079] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:441:1] |
Generators of the group modulo torsion |
j |
22541650595110032049/3739439369689920 |
j-invariant |
L |
8.1603275606637 |
L(r)(E,1)/r! |
Ω |
0.30997473807067 |
Real period |
R |
0.29250869536641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920bf2 47970q2 79950c2 |
Quadratic twists by: -4 -3 5 |