Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bu |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-23158872 = -1 · 23 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380885,-90381819] |
[a1,a2,a3,a4,a6] |
j |
-23220390648606625/88 |
j-invariant |
L |
5.1887762030555 |
L(r)(E,1)/r! |
Ω |
0.096088448415633 |
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 71478h2 |
Quadratic twists by: -3 -19 |