Atkin-Lehner |
11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29887a |
Isogeny class |
Conductor |
29887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3472128 |
Modular degree for the optimal curve |
Δ |
-6.9436558359156E+20 |
Discriminant |
Eigenvalues |
2 1 -3 2 11+ 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-67795372,-214882686573] |
[a1,a2,a3,a4,a6] |
j |
-14614692983201558528/294478790281 |
j-invariant |
L |
3.3672781408076 |
L(r)(E,1)/r! |
Ω |
0.026306860475061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29887c1 |
Quadratic twists by: -11 |