Atkin-Lehner |
2- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25228g |
Isogeny class |
Conductor |
25228 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
16492320 |
Modular degree for the optimal curve |
Δ |
5.0961311676672E+25 |
Discriminant |
Eigenvalues |
2- -3 2 7+ -3 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444656239,-3592601294378] |
[a1,a2,a3,a4,a6] |
Generators |
[3986570:478690012:125] |
Generators of the group modulo torsion |
j |
37980171173846191901088925008/199067623736998416133363 |
j-invariant |
L |
3.558734020836 |
L(r)(E,1)/r! |
Ω |
0.032887471901918 |
Real period |
R |
12.023268081635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912bf1 |
Quadratic twists by: -4 |