Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84216o |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
374335551822329856 = 211 · 35 · 1110 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36386192,-84467695860] |
[a1,a2,a3,a4,a6] |
j |
1468410500070970706/103175127 |
j-invariant |
L |
3.9340998623452 |
L(r)(E,1)/r! |
Ω |
0.061470310069978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656b3 |
Quadratic twists by: -11 |