Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110be |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4208721920 = -1 · 218 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -1 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33,-3129] |
[a1,a2,a3,a4,a6] |
Generators |
[19:54:1] |
Generators of the group modulo torsion |
j |
24191271/24903680 |
j-invariant |
L |
4.7707321179602 |
L(r)(E,1)/r! |
Ω |
0.64545755021445 |
Real period |
R |
0.41062448356514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110h1 |
Quadratic twists by: 13 |