Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fd |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
7968576000 = 29 · 3 · 53 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-286728,58975881] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-147:1] |
Generators of the group modulo torsion |
j |
60803697533388083/185856 |
j-invariant |
L |
8.8843486179617 |
L(r)(E,1)/r! |
Ω |
0.87060765711509 |
Real period |
R |
0.56693152117306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850da2 80850he2 |
Quadratic twists by: 5 -7 |