Atkin-Lehner |
3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
16425n |
Isogeny class |
Conductor |
16425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-40972932421875 = -1 · 39 · 58 · 732 |
Discriminant |
Eigenvalues |
0 3- 5- 3 0 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8250,-107969] |
[a1,a2,a3,a4,a6] |
Generators |
[25:337:1] |
Generators of the group modulo torsion |
j |
218071040/143883 |
j-invariant |
L |
4.811663865088 |
L(r)(E,1)/r! |
Ω |
0.36721917703842 |
Real period |
R |
0.54595731082337 |
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 |
5475e1 16425j1 |
Quadratic twists by: -3 5 |