Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1472d |
Isogeny class |
Conductor |
1472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-6174015488 = -1 · 228 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -4 -4 -2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-652,-7440] |
[a1,a2,a3,a4,a6] |
j |
-116930169/23552 |
j-invariant |
L |
0.46732977883125 |
L(r)(E,1)/r! |
Ω |
0.46732977883125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1472i1 46a1 13248l1 36800d1 |
Quadratic twists by: -4 8 -3 5 |