Atkin-Lehner |
2- 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bj |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
90217058750000 = 24 · 57 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26954755,-53857582253] |
[a1,a2,a3,a4,a6] |
Generators |
[6509:212220:1] |
Generators of the group modulo torsion |
j |
138614874867715150165689/5773891760 |
j-invariant |
L |
9.4679609707735 |
L(r)(E,1)/r! |
Ω |
0.066258364051031 |
Real period |
R |
4.4654555561876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290b3 |
Quadratic twists by: 5 |