Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325l |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-79449889755234375 = -1 · 312 · 57 · 134 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19501,-13603477] |
[a1,a2,a3,a4,a6] |
j |
-52485860157121/5084792944335 |
j-invariant |
L |
1.8208466081443 |
L(r)(E,1)/r! |
Ω |
0.15173721698484 |
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 |
13065j4 |
Quadratic twists by: 5 |