Atkin-Lehner |
3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525f |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1286541448171875 = -1 · 33 · 56 · 78 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 6 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-371583,87324068] |
[a1,a2,a3,a4,a6] |
j |
-62992384000/14283 |
j-invariant |
L |
1.8833909315552 |
L(r)(E,1)/r! |
Ω |
0.47084769947479 |
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 |
3381i1 84525cg1 |
Quadratic twists by: 5 -7 |