Atkin-Lehner |
2- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63206i |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-26293696 = -1 · 26 · 11 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 11+ 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16,-239] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3585:1] |
Generators of the group modulo torsion |
j |
205379/11968 |
j-invariant |
L |
11.013500359057 |
L(r)(E,1)/r! |
Ω |
1.0103012157606 |
Real period |
R |
3.6337348990883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63206f1 |
Quadratic twists by: 13 |