Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fj |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15615688887562500 = 22 · 310 · 56 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91580,-8788453] |
[a1,a2,a3,a4,a6] |
j |
7457162887153/1370924676 |
j-invariant |
L |
2.2233689702429 |
L(r)(E,1)/r! |
Ω |
0.27792111482826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1.0000000232156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28050bi2 3366c2 |
Quadratic twists by: -3 5 |