Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064cl |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-198092410723008 = -1 · 26 · 38 · 23 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 4 5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2755,-675789] |
[a1,a2,a3,a4,a6] |
Generators |
[78:87:1] |
Generators of the group modulo torsion |
j |
36120262639616/3095193917547 |
j-invariant |
L |
6.1178243199064 |
L(r)(E,1)/r! |
Ω |
0.26868554397669 |
Real period |
R |
2.2769457645883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000337159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064bs1 32016bc1 |
Quadratic twists by: -4 8 |