Atkin-Lehner |
3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89661q |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
209097274812594597 = 32 · 117 · 137 · 19 |
Discriminant |
Eigenvalues |
-2 3- 0 -1 11- 13- 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158308,10132942] |
[a1,a2,a3,a4,a6] |
Generators |
[29:2359:1] |
Generators of the group modulo torsion |
j |
247673152000000/118029960477 |
j-invariant |
L |
3.9529664361178 |
L(r)(E,1)/r! |
Ω |
0.28205630840102 |
Real period |
R |
0.2502645190035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151h1 |
Quadratic twists by: -11 |