Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150d |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-68783430316050 = -1 · 2 · 34 · 52 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 5 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,715,399255] |
[a1,a2,a3,a4,a6] |
Generators |
[478:6259:8] |
Generators of the group modulo torsion |
j |
95/162 |
j-invariant |
L |
3.6696561059384 |
L(r)(E,1)/r! |
Ω |
0.48363604551909 |
Real period |
R |
1.2646066327429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150cu1 54150cp1 |
Quadratic twists by: 5 -19 |