Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352t |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15085895025641472 = -1 · 211 · 314 · 172 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301179,-63892618] |
[a1,a2,a3,a4,a6] |
Generators |
[26264164:16824997053:64] |
Generators of the group modulo torsion |
j |
-2023672790796914/10104471441 |
j-invariant |
L |
4.4763435171442 |
L(r)(E,1)/r! |
Ω |
0.10186704006172 |
Real period |
R |
10.985750429229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29784b2 |
Quadratic twists by: -3 |