Atkin-Lehner |
2- 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5478l |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3721112032968 = -1 · 23 · 34 · 112 · 834 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3871,-2905] |
[a1,a2,a3,a4,a6] |
Generators |
[21:286:1] |
Generators of the group modulo torsion |
j |
6414845693752943/3721112032968 |
j-invariant |
L |
4.3110965249896 |
L(r)(E,1)/r! |
Ω |
0.46701567583947 |
Real period |
R |
1.5385267019287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824bc3 16434e4 60258i3 |
Quadratic twists by: -4 -3 -11 |