Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1380d |
Isogeny class |
Conductor |
1380 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
155250000 = 24 · 33 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165,-612] |
[a1,a2,a3,a4,a6] |
j |
31238127616/9703125 |
j-invariant |
L |
2.0456487604425 |
L(r)(E,1)/r! |
Ω |
1.363765840295 |
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 |
5520v1 22080f1 4140e1 6900e1 |
Quadratic twists by: -4 8 -3 5 |