Atkin-Lehner |
2- 7- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32396c |
Isogeny class |
Conductor |
32396 |
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] |
j |
-422267614606672/166734784982129 |
j-invariant |
L |
3.5181924943119 |
L(r)(E,1)/r! |
Ω |
0.2931827078594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584j2 |
Quadratic twists by: -4 |