Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1380d |
Isogeny class |
Conductor |
1380 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
14600400 = 24 · 3 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12165,-520512] |
[a1,a2,a3,a4,a6] |
j |
12444451776495616/912525 |
j-invariant |
L |
2.0456487604425 |
L(r)(E,1)/r! |
Ω |
0.45458861343167 |
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 |
5520v3 22080f3 4140e3 6900e3 |
Quadratic twists by: -4 8 -3 5 |