Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150k |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-467856000000000 = -1 · 213 · 34 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 1 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77375,8317125] |
[a1,a2,a3,a4,a6] |
j |
-9082538350921/82944000 |
j-invariant |
L |
2.114664016374 |
L(r)(E,1)/r! |
Ω |
0.52866600403837 |
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 |
10830bf1 54150ck1 |
Quadratic twists by: 5 -19 |