Atkin-Lehner |
5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65065o |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
314370383912585 = 5 · 72 · 112 · 139 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32818,2131536] |
[a1,a2,a3,a4,a6] |
j |
368601813/29645 |
j-invariant |
L |
1.06277850981 |
L(r)(E,1)/r! |
Ω |
0.53138925688382 |
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 |
65065r1 |
Quadratic twists by: 13 |