Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204o |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-7184645466994944 = -1 · 28 · 312 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 3- 3 2 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45236,1723268] |
[a1,a2,a3,a4,a6] |
j |
1400081519408/982634409 |
j-invariant |
L |
6.3671074286798 |
L(r)(E,1)/r! |
Ω |
0.26529614138404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87204p1 |
Quadratic twists by: 13 |