Atkin-Lehner |
3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8217f |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-78142852400283 = -1 · 312 · 116 · 83 |
Discriminant |
Eigenvalues |
1 3- -4 0 11+ 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2754,429619] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:5371:8] |
Generators of the group modulo torsion |
j |
-3169397364769/107191841427 |
j-invariant |
L |
3.4945374585713 |
L(r)(E,1)/r! |
Ω |
0.50914939164395 |
Real period |
R |
3.4317407777785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739f2 90387o2 |
Quadratic twists by: -3 -11 |