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 |
415355486793984 = 28 · 32 · 118 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39244,-2840224] |
[a1,a2,a3,a4,a6] |
Generators |
[-4276681704:-14989934960:36926037] |
Generators of the group modulo torsion |
j |
14738677072/915849 |
j-invariant |
L |
8.2655926249533 |
L(r)(E,1)/r! |
Ω |
0.34051971348453 |
Real period |
R |
12.136731440045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7656j2 |
Quadratic twists by: -11 |