Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216v |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6110208 |
Modular degree for the optimal curve |
Δ |
-2.80829160762E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -1 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31849659,69230905578] |
[a1,a2,a3,a4,a6] |
Generators |
[2989:-27136:1] |
Generators of the group modulo torsion |
j |
-44318681593817709051/34833006567424 |
j-invariant |
L |
7.2897420463997 |
L(r)(E,1)/r! |
Ω |
0.14217187279189 |
Real period |
R |
1.0682114771231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402g1 99216t1 |
Quadratic twists by: -4 -3 |