Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064f |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
-488618459136 = -1 · 217 · 35 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 5 0 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1857,-44991] |
[a1,a2,a3,a4,a6] |
Generators |
[257:4048:1] |
Generators of the group modulo torsion |
j |
-5406090914/3727863 |
j-invariant |
L |
6.1351069805313 |
L(r)(E,1)/r! |
Ω |
0.35283059575831 |
Real period |
R |
2.1735313841855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064dl1 16008k1 |
Quadratic twists by: -4 8 |