Atkin-Lehner |
5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3025a |
Isogeny class |
Conductor |
3025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-20796875 = -1 · 56 · 113 |
Discriminant |
Eigenvalues |
0 1 5+ 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-183,919] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
3.2377912112526 |
L(r)(E,1)/r! |
Ω |
2.1477081065173 |
Real period |
R |
0.75377822559486 |
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 |
48400bk1 27225ba1 121b1 3025a2 |
Quadratic twists by: -4 -3 5 -11 |