Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048br |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.5047225440777E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1302296,-18654875792] |
[a1,a2,a3,a4,a6] |
j |
59633809076653006103/36736390236271934208 |
j-invariant |
L |
1.1532217731158 |
L(r)(E,1)/r! |
Ω |
0.048050907217759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006m4 |
Quadratic twists by: -4 |