Atkin-Lehner |
3- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325ba |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104320 |
Modular degree for the optimal curve |
Δ |
-341935546875 = -1 · 3 · 59 · 13 · 672 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 1 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1542,-15256] |
[a1,a2,a3,a4,a6] |
j |
207474688/175071 |
j-invariant |
L |
2.1213135774432 |
L(r)(E,1)/r! |
Ω |
0.5303283928621 |
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 |
65325j1 |
Quadratic twists by: 5 |