Atkin-Lehner |
2- 11- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656v |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-156750114688335872 = -1 · 223 · 112 · 174 · 432 |
Discriminant |
Eigenvalues |
2- 0 4 4 11- -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,129197,6584850] |
[a1,a2,a3,a4,a6] |
Generators |
[-440475:5338880:9261] |
Generators of the group modulo torsion |
j |
58226549158666071/38269070968832 |
j-invariant |
L |
11.090294851002 |
L(r)(E,1)/r! |
Ω |
0.20294224441504 |
Real period |
R |
6.8309427629084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16082b2 |
Quadratic twists by: -4 |