Atkin-Lehner |
2+ 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826i |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
562104069696 = 26 · 38 · 132 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2421,28917] |
[a1,a2,a3,a4,a6] |
j |
2153185532497/771061824 |
j-invariant |
L |
1.6889324402994 |
L(r)(E,1)/r! |
Ω |
0.84446622014969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6942m2 |
Quadratic twists by: -3 |