Atkin-Lehner |
3+ 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533c |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
348508316998233 = 39 · 76 · 19 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81569,-8901224] |
[a1,a2,a3,a4,a6] |
Generators |
[-125356322:-95141983:753571] |
Generators of the group modulo torsion |
j |
3049318877636331/17706056851 |
j-invariant |
L |
5.4868356389846 |
L(r)(E,1)/r! |
Ω |
0.2825989544916 |
Real period |
R |
9.7078130865469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533e1 |
Quadratic twists by: -3 |