Atkin-Lehner |
5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21025a |
Isogeny class |
Conductor |
21025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1347646586640625 = 57 · 297 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56505,4872872] |
[a1,a2,a3,a4,a6] |
Generators |
[1478:55371:1] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
3.4589382171479 |
L(r)(E,1)/r! |
Ω |
0.47265991732504 |
Real period |
R |
7.3180273815545 |
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 |
4205a1 725a1 |
Quadratic twists by: 5 29 |