Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8217j |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3425114484891 = 38 · 11 · 834 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6044,-155892] |
[a1,a2,a3,a4,a6] |
Generators |
[1342:14355:8] |
Generators of the group modulo torsion |
j |
33489000393337/4698373779 |
j-invariant |
L |
3.0825970726128 |
L(r)(E,1)/r! |
Ω |
0.54652014660427 |
Real period |
R |
5.6404088518348 |
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 |
2739c3 90387r4 |
Quadratic twists by: -3 -11 |