Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bj |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
62283118720204800 = 214 · 33 · 52 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-106483,-5898994] |
[a1,a2,a3,a4,a6] |
j |
75370704203521/35157196800 |
j-invariant |
L |
3.3176442753444 |
L(r)(E,1)/r! |
Ω |
0.2764703561031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bk1 |
Quadratic twists by: -11 |