Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30544u |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6432 |
Modular degree for the optimal curve |
Δ |
-2535152 = -1 · 24 · 23 · 832 |
Discriminant |
Eigenvalues |
2- -1 2 -4 6 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18,-77] |
[a1,a2,a3,a4,a6] |
j |
38112512/158447 |
j-invariant |
L |
2.6017554393367 |
L(r)(E,1)/r! |
Ω |
1.3008777196705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7636c1 122176bn1 |
Quadratic twists by: -4 8 |