Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921r |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10229717782449 = -1 · 36 · 116 · 892 |
Discriminant |
Eigenvalues |
1 3- 2 -2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3789,124042] |
[a1,a2,a3,a4,a6] |
Generators |
[481380:5784263:8000] |
Generators of the group modulo torsion |
j |
4657463/7921 |
j-invariant |
L |
8.2608940267981 |
L(r)(E,1)/r! |
Ω |
0.49518298145265 |
Real period |
R |
8.3412539551815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10769d2 801b2 |
Quadratic twists by: -3 -11 |