Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cz |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
5091840 |
Modular degree for the optimal curve |
Δ |
-4.228748057664E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68698588,221380523792] |
[a1,a2,a3,a4,a6] |
Generators |
[-3028:-632236:1] |
Generators of the group modulo torsion |
j |
-2813198004118489/33177600000 |
j-invariant |
L |
8.7902011835869 |
L(r)(E,1)/r! |
Ω |
0.094717139356908 |
Real period |
R |
0.11373132091174 |
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 |
76050bq1 5070c1 25350be1 |
Quadratic twists by: -3 5 13 |