Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200p |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-425984000000 = -1 · 221 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183808,30270388] |
[a1,a2,a3,a4,a6] |
j |
-10730978619193/6656 |
j-invariant |
L |
1.5560097092048 |
L(r)(E,1)/r! |
Ω |
0.77800485460238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
650h3 20800db3 46800db3 208a3 |
Quadratic twists by: -4 8 -3 5 |