Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bu |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1512960768 = -1 · 28 · 36 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720,-7668] |
[a1,a2,a3,a4,a6] |
Generators |
[102:990:1] |
Generators of the group modulo torsion |
j |
-221184000/8107 |
j-invariant |
L |
6.5349430318949 |
L(r)(E,1)/r! |
Ω |
0.45983578624159 |
Real period |
R |
1.7764338991578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26532c1 11792b1 |
Quadratic twists by: -4 -3 |