Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400dg |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
2537553920000 = 225 · 54 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86808,9815188] |
[a1,a2,a3,a4,a6] |
j |
233551483825/8192 |
j-invariant |
L |
1.5197511887571 |
L(r)(E,1)/r! |
Ω |
0.75987559425287 |
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 |
6050q1 48400cj1 48400dh1 |
Quadratic twists by: -4 5 -11 |