Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110w |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
905214253299200000 = 212 · 55 · 134 · 195 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-258433,21550481] |
[a1,a2,a3,a4,a6] |
Generators |
[23:3940:1] |
Generators of the group modulo torsion |
j |
66833258306133969/31694067200000 |
j-invariant |
L |
7.6042122341776 |
L(r)(E,1)/r! |
Ω |
0.24979089436359 |
Real period |
R |
0.16912395318028 |
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 |
32110m1 |
Quadratic twists by: 13 |