Atkin-Lehner |
2+ 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064s |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-2852241408 = -1 · 214 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,-4175] |
[a1,a2,a3,a4,a6] |
Generators |
[33:128:1] |
Generators of the group modulo torsion |
j |
-549250000/174087 |
j-invariant |
L |
4.9974998677506 |
L(r)(E,1)/r! |
Ω |
0.51486247669856 |
Real period |
R |
2.4266187946589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064db1 16008g1 |
Quadratic twists by: -4 8 |