Atkin-Lehner |
2+ 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226g |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-4.0802976304976E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -5 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-559581,-346861819] |
[a1,a2,a3,a4,a6] |
Generators |
[961:1000:1] |
Generators of the group modulo torsion |
j |
-26581868211026710737/55971160912175104 |
j-invariant |
L |
2.5575719191442 |
L(r)(E,1)/r! |
Ω |
0.081848083693207 |
Real period |
R |
3.1247792296895 |
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 |
2914d1 |
Quadratic twists by: -3 |