Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
12925d |
Isogeny class |
Conductor |
12925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-379671875 = -1 · 56 · 11 · 472 |
Discriminant |
Eigenvalues |
0 -3 5+ 2 11- 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-400,-3219] |
[a1,a2,a3,a4,a6] |
Generators |
[61:446:1] |
Generators of the group modulo torsion |
j |
-452984832/24299 |
j-invariant |
L |
2.5121403919139 |
L(r)(E,1)/r! |
Ω |
0.53211065300009 |
Real period |
R |
2.3605432232471 |
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 |
116325p1 517b1 |
Quadratic twists by: -3 5 |