Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930p |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8328529906604912000 = 27 · 53 · 172 · 239 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1038246357,12876094247789] |
[a1,a2,a3,a4,a6] |
Generators |
[2130539108773383:-2704350636470449:114154707051] |
Generators of the group modulo torsion |
j |
68718621101535227087/4624000 |
j-invariant |
L |
8.5619521063517 |
L(r)(E,1)/r! |
Ω |
0.1283848740996 |
Real period |
R |
22.229908770758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89930i2 |
Quadratic twists by: -23 |