Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975k |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-20384149921875 = -1 · 36 · 57 · 713 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21450,1228531] |
[a1,a2,a3,a4,a6] |
Generators |
[415:7987:1] |
Generators of the group modulo torsion |
j |
-95820414976/1789555 |
j-invariant |
L |
3.9398168429295 |
L(r)(E,1)/r! |
Ω |
0.68373515138603 |
Real period |
R |
0.48018310829651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1775a2 3195b2 |
Quadratic twists by: -3 5 |