Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525cx |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1814881136221125 = -1 · 32 · 53 · 78 · 234 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55396,5416163] |
[a1,a2,a3,a4,a6] |
j |
-1278348920477/123409881 |
j-invariant |
L |
3.6700514442102 |
L(r)(E,1)/r! |
Ω |
0.45875643086078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525bj2 12075o2 |
Quadratic twists by: 5 -7 |