Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960q |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12628965519360 = 212 · 311 · 5 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57612,-5319776] |
[a1,a2,a3,a4,a6] |
j |
7082312601664/4229415 |
j-invariant |
L |
1.2326700842245 |
L(r)(E,1)/r! |
Ω |
0.30816753441413 |
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 |
84960bh2 28320t2 |
Quadratic twists by: -4 -3 |