Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216bl |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1671168 |
Modular degree for the optimal curve |
Δ |
-2.3000115373928E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,709773,-16370638] |
[a1,a2,a3,a4,a6] |
j |
13243252505373071/7702692102144 |
j-invariant |
L |
2.0242170847345 |
L(r)(E,1)/r! |
Ω |
0.12651357848563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402e1 33072q1 |
Quadratic twists by: -4 -3 |