Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bf |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2744451072 = 216 · 34 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44129,-3553407] |
[a1,a2,a3,a4,a6] |
j |
145019325614692/41877 |
j-invariant |
L |
1.3175823009799 |
L(r)(E,1)/r! |
Ω |
0.32939554456242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264y4 24816f4 |
Quadratic twists by: -4 8 |