Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bw |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1197504 |
Modular degree for the optimal curve |
Δ |
-1343467964502720000 = -1 · 29 · 39 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,264060,-19438203] |
[a1,a2,a3,a4,a6] |
j |
353221512666239/233046720000 |
j-invariant |
L |
5.5580152525481 |
L(r)(E,1)/r! |
Ω |
0.15438931256699 |
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 |
54390cx1 |
Quadratic twists by: -7 |