Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525ck |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38581656807421875 = 3 · 58 · 76 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-503501,137147273] |
[a1,a2,a3,a4,a6] |
j |
7679186557489/20988075 |
j-invariant |
L |
1.4616164629121 |
L(r)(E,1)/r! |
Ω |
0.36540415195994 |
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 |
16905m4 1725d3 |
Quadratic twists by: 5 -7 |