Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bo |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-56278949848 = -1 · 23 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5120783,-4462316627] |
[a1,a2,a3,a4,a6] |
j |
-23220390648606625/88 |
j-invariant |
L |
5.4195000232824 |
L(r)(E,1)/r! |
Ω |
0.05018055559384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942j2 87362h2 |
Quadratic twists by: -11 -19 |