Atkin-Lehner |
2- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850u |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
28320 |
Modular degree for the optimal curve |
Δ |
-300820000 = -1 · 25 · 54 · 132 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -1 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-488,4192] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-76:1] |
Generators of the group modulo torsion |
j |
-20566423825/481312 |
j-invariant |
L |
6.0910156704885 |
L(r)(E,1)/r! |
Ω |
1.7241408557537 |
Real period |
R |
0.11775943653674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57850h1 |
Quadratic twists by: 5 |