Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84216h |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62389258637054976 = -1 · 210 · 34 · 1110 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30936,-11823264] |
[a1,a2,a3,a4,a6] |
Generators |
[20538:1042899:8] |
Generators of the group modulo torsion |
j |
1804870652/34391709 |
j-invariant |
L |
8.2655926249533 |
L(r)(E,1)/r! |
Ω |
0.17025985674227 |
Real period |
R |
6.0683657200224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656j4 |
Quadratic twists by: -11 |