Atkin-Lehner |
3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18963l |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-337043602287 = -1 · 312 · 73 · 432 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,-27945] |
[a1,a2,a3,a4,a6] |
j |
68921/1347921 |
j-invariant |
L |
3.5484013410881 |
L(r)(E,1)/r! |
Ω |
0.44355016763602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6321f1 18963m1 |
Quadratic twists by: -3 -7 |