Atkin-Lehner |
31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52111c |
Isogeny class |
Conductor |
52111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
247532682102751 = 31 · 418 |
Discriminant |
Eigenvalues |
1 0 2 -2 4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279361,-56757678] |
[a1,a2,a3,a4,a6] |
j |
507596683833/52111 |
j-invariant |
L |
3.3226201575813 |
L(r)(E,1)/r! |
Ω |
0.20766375990096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1271a2 |
Quadratic twists by: 41 |