Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32208q |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
1240320 |
Modular degree for the optimal curve |
Δ |
-4.1869351480017E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1835936,-228321676] |
[a1,a2,a3,a4,a6] |
j |
167084491388439286943/102220096386760704 |
j-invariant |
L |
3.6949159686904 |
L(r)(E,1)/r! |
Ω |
0.097234630755033 |
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 |
4026g1 128832bc1 96624bi1 |
Quadratic twists by: -4 8 -3 |