Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525ck |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
49547003173828125 = 3 · 514 · 76 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-466751,-122307727] |
[a1,a2,a3,a4,a6] |
j |
6117442271569/26953125 |
j-invariant |
L |
1.4616164629121 |
L(r)(E,1)/r! |
Ω |
0.18270207597997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905m3 1725d4 |
Quadratic twists by: 5 -7 |