Atkin-Lehner |
2+ 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182d |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6645963515138063424 = 26 · 38 · 74 · 116 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-682531,-178386995] |
[a1,a2,a3,a4,a6] |
j |
35163480135669392832697/6645963515138063424 |
j-invariant |
L |
1.0096479033766 |
L(r)(E,1)/r! |
Ω |
0.16827465056268 |
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 |
84546bh2 |
Quadratic twists by: -3 |