Atkin-Lehner |
2+ 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
54120c |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
-5499499484160 = -1 · 210 · 39 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50920,-4407140] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1892:1] |
Generators of the group modulo torsion |
j |
-14259275807548324/5370604965 |
j-invariant |
L |
3.2250716014973 |
L(r)(E,1)/r! |
Ω |
0.15890477127098 |
Real period |
R |
3.3826041173383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240p1 |
Quadratic twists by: -4 |