Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bt |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9977856 |
Modular degree for the optimal curve |
Δ |
-2.1839824231279E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -5 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25709979,-50677807286] |
[a1,a2,a3,a4,a6] |
Generators |
[239711:117336726:1] |
Generators of the group modulo torsion |
j |
-629421250658359789657/7314112946110464 |
j-invariant |
L |
4.65454417992 |
L(r)(E,1)/r! |
Ω |
0.03349990161471 |
Real period |
R |
8.6838765835072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402m1 33072w1 |
Quadratic twists by: -4 -3 |