Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110m |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5241600 |
Modular degree for the optimal curve |
Δ |
4.3692963047529E+24 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43675124,47215381968] |
[a1,a2,a3,a4,a6] |
j |
66833258306133969/31694067200000 |
j-invariant |
L |
0.692795290595 |
L(r)(E,1)/r! |
Ω |
0.069279529059379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110w1 |
Quadratic twists by: 13 |