Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775u |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
18143727890625 = 312 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7213,-117208] |
[a1,a2,a3,a4,a6] |
j |
2656166199049/1161198585 |
j-invariant |
L |
1.617647599749 |
L(r)(E,1)/r! |
Ω |
0.53921586658286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98325bg1 6555b1 |
Quadratic twists by: -3 5 |