Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592o |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-56166334578072576 = -1 · 210 · 39 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23469,-11318110] |
[a1,a2,a3,a4,a6] |
j |
1915049403068/75239967231 |
j-invariant |
L |
1.3568732967191 |
L(r)(E,1)/r! |
Ω |
0.16960916208989 |
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 |
10296n4 82368dp3 6864d4 |
Quadratic twists by: -4 8 -3 |