Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848bl |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1757184 |
Modular degree for the optimal curve |
Δ |
-2816334890285543424 = -1 · 212 · 38 · 711 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 -6 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,257784,63098768] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:5292:1] |
Generators of the group modulo torsion |
j |
634459801098752/943184856411 |
j-invariant |
L |
8.877226427675 |
L(r)(E,1)/r! |
Ω |
0.17291306491635 |
Real period |
R |
0.58340052412685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848m1 35616f1 |
Quadratic twists by: -4 -3 |