Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110s |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-2.7975485076695E+21 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5344798,-5394485744] |
[a1,a2,a3,a4,a6] |
Generators |
[9605:905917:1] |
Generators of the group modulo torsion |
j |
-20700015257764921/3429500000000 |
j-invariant |
L |
5.7441846253345 |
L(r)(E,1)/r! |
Ω |
0.049199657344178 |
Real period |
R |
6.4862518419937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32110u1 |
Quadratic twists by: 13 |