Atkin-Lehner |
7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11837a |
Isogeny class |
Conductor |
11837 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-25926640841339 = -1 · 76 · 195 · 89 |
Discriminant |
Eigenvalues |
-1 0 -1 7+ -5 -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4002,223760] |
[a1,a2,a3,a4,a6] |
Generators |
[10:509:1] |
Generators of the group modulo torsion |
j |
7090170810263631/25926640841339 |
j-invariant |
L |
1.6127756688067 |
L(r)(E,1)/r! |
Ω |
0.47575931623233 |
Real period |
R |
1.6949491200495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106533i1 82859a1 |
Quadratic twists by: -3 -7 |