Atkin-Lehner |
11- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98857d |
Isogeny class |
Conductor |
98857 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13007472283619 = 117 · 192 · 432 |
Discriminant |
Eigenvalues |
1 0 -2 4 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9158,-286995] |
[a1,a2,a3,a4,a6] |
Generators |
[58120:153045:512] |
Generators of the group modulo torsion |
j |
47950837137/7342379 |
j-invariant |
L |
8.6723901376105 |
L(r)(E,1)/r! |
Ω |
0.4930515803576 |
Real period |
R |
4.3973036873008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8987c2 |
Quadratic twists by: -11 |