Atkin-Lehner |
3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
51207b |
Isogeny class |
Conductor |
51207 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5760878597253 = 32 · 137 · 1012 |
Discriminant |
Eigenvalues |
1 3- 0 -2 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10651,406109] |
[a1,a2,a3,a4,a6] |
j |
27680640625/1193517 |
j-invariant |
L |
3.0053768029041 |
L(r)(E,1)/r! |
Ω |
0.75134420088804 |
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 |
3939b2 |
Quadratic twists by: 13 |