Atkin-Lehner |
2- 3+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182k |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
6446598102996936192 = 29 · 32 · 710 · 113 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3698594,-2736623185] |
[a1,a2,a3,a4,a6] |
j |
5595433026056296827729697/6446598102996936192 |
j-invariant |
L |
1.9597150929163 |
L(r)(E,1)/r! |
Ω |
0.10887306071757 |
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 |
84546n2 |
Quadratic twists by: -3 |