Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747w |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1247232 |
Modular degree for the optimal curve |
Δ |
-110509302440691 = -1 · 37 · 7 · 114 · 793 |
Discriminant |
Eigenvalues |
2 3- -3 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3003339,-2003339993] |
[a1,a2,a3,a4,a6] |
j |
-4109691771640831578112/151590263979 |
j-invariant |
L |
3.6698510930331 |
L(r)(E,1)/r! |
Ω |
0.057341423372463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249g1 |
Quadratic twists by: -3 |