Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32364i |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2252160 |
Modular degree for the optimal curve |
Δ |
-1.328348530691E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 4 3 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3702921,4819426702] |
[a1,a2,a3,a4,a6] |
j |
30087739379435719088/71177797640762793 |
j-invariant |
L |
4.210521386441 |
L(r)(E,1)/r! |
Ω |
0.087719195550816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bg1 10788g1 |
Quadratic twists by: -4 -3 |