Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bq |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-9387655999488 = -1 · 212 · 39 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1920,-150928] |
[a1,a2,a3,a4,a6] |
Generators |
[89:619:1] |
Generators of the group modulo torsion |
j |
-262144000/3143907 |
j-invariant |
L |
9.0296315707939 |
L(r)(E,1)/r! |
Ω |
0.31056427761808 |
Real period |
R |
4.8458200240829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6201e1 33072o1 |
Quadratic twists by: -4 -3 |