Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9610a |
Isogeny class |
Conductor |
9610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6609905540167750000 = -1 · 24 · 56 · 319 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,436274,-54579077] |
[a1,a2,a3,a4,a6] |
Generators |
[81556493:2654819623:357911] |
Generators of the group modulo torsion |
j |
10347405816671/7447750000 |
j-invariant |
L |
7.8140676094723 |
L(r)(E,1)/r! |
Ω |
0.13342052332184 |
Real period |
R |
14.641802128566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880t3 86490bl3 48050e3 310b3 |
Quadratic twists by: -4 -3 5 -31 |