Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bl |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-4219469438146560000 = -1 · 214 · 315 · 54 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-403223,139670831] |
[a1,a2,a3,a4,a6] |
j |
-9945601718435870761/5788023920640000 |
j-invariant |
L |
6.3942054088634 |
L(r)(E,1)/r! |
Ω |
0.22836447887729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330p1 |
Quadratic twists by: -3 |