Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205bi |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
121032571275 = 38 · 52 · 72 · 11 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4509,-114210] |
[a1,a2,a3,a4,a6] |
Generators |
[714:18624:1] |
Generators of the group modulo torsion |
j |
13908844989649/166025475 |
j-invariant |
L |
8.6737146374681 |
L(r)(E,1)/r! |
Ω |
0.58302664164473 |
Real period |
R |
3.719261692575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735j2 |
Quadratic twists by: -3 |