Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bb |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-382397054976 = -1 · 218 · 37 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -3 -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,703,-28641] |
[a1,a2,a3,a4,a6] |
Generators |
[25:72:1] [43:-288:1] |
Generators of the group modulo torsion |
j |
146363183/1458729 |
j-invariant |
L |
11.511334654705 |
L(r)(E,1)/r! |
Ω |
0.46954545904994 |
Real period |
R |
0.87556824778039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cr1 2001a1 |
Quadratic twists by: -4 8 |