Atkin-Lehner |
3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
16425o |
Isogeny class |
Conductor |
16425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1116288 |
Modular degree for the optimal curve |
Δ |
-313555624980676875 = -1 · 323 · 54 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 -6 7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12356175,16717631706] |
[a1,a2,a3,a4,a6] |
j |
-457897548255411097600/688187928627 |
j-invariant |
L |
1.0414624917095 |
L(r)(E,1)/r! |
Ω |
0.26036562292736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5475j1 16425h1 |
Quadratic twists by: -3 5 |