Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98553x |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2216160 |
Modular degree for the optimal curve |
Δ |
-1.9466245608826E+19 |
Discriminant |
Eigenvalues |
-1 3- 1 7- -4 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,340235,-198026836] |
[a1,a2,a3,a4,a6] |
Generators |
[2611:134680:1] |
Generators of the group modulo torsion |
j |
256467174479/1146181491 |
j-invariant |
L |
4.4078832224755 |
L(r)(E,1)/r! |
Ω |
0.10949743582078 |
Real period |
R |
6.7092639990036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553m1 |
Quadratic twists by: -19 |