Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84216a |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2286418676031756288 = 211 · 34 · 117 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-362072,-41585652] |
[a1,a2,a3,a4,a6] |
j |
1446850541666/630187371 |
j-invariant |
L |
3.6454795032718 |
L(r)(E,1)/r! |
Ω |
0.20252664028366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656f3 |
Quadratic twists by: -11 |