Atkin-Lehner |
2- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129584j |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-42684104955425024 = -1 · 28 · 72 · 136 · 893 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9924,-9944084] |
[a1,a2,a3,a4,a6] |
Generators |
[825:23296:1] |
Generators of the group modulo torsion |
j |
-422267614606672/166734784982129 |
j-invariant |
L |
7.3181629428493 |
L(r)(E,1)/r! |
Ω |
0.16198138822086 |
Real period |
R |
3.7649196775918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999934209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32396c2 |
Quadratic twists by: -4 |