Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1560g |
Isogeny class |
Conductor |
1560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-998400 = -1 · 210 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,48] |
[a1,a2,a3,a4,a6] |
j |
-4/975 |
j-invariant |
L |
2.211709898472 |
L(r)(E,1)/r! |
Ω |
2.211709898472 |
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 |
3120e1 12480c1 4680p1 7800l1 |
Quadratic twists by: -4 8 -3 5 |