Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bz |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-519820996608 = -1 · 212 · 38 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6233,194649] |
[a1,a2,a3,a4,a6] |
Generators |
[25:232:1] |
Generators of the group modulo torsion |
j |
-6539203000000/126909423 |
j-invariant |
L |
4.6711544986457 |
L(r)(E,1)/r! |
Ω |
0.92797096487079 |
Real period |
R |
1.258432301538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998936335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dn1 64032o1 |
Quadratic twists by: -4 8 |