Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28880bd |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-129075079111600 = -1 · 24 · 52 · 199 |
Discriminant |
Eigenvalues |
2- 2 5- 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9145,645000] |
[a1,a2,a3,a4,a6] |
Generators |
[5856143190:264496391175:2863288] |
Generators of the group modulo torsion |
j |
-16384/25 |
j-invariant |
L |
8.810560316364 |
L(r)(E,1)/r! |
Ω |
0.52601683439043 |
Real period |
R |
16.749578607259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220g1 115520bq1 28880be1 |
Quadratic twists by: -4 8 -19 |