Atkin-Lehner |
3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52065p |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-66611700675 = -1 · 311 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2 3- 5- -2 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-417,-12843] |
[a1,a2,a3,a4,a6] |
j |
-11000295424/91374075 |
j-invariant |
L |
7.4313443811127 |
L(r)(E,1)/r! |
Ω |
0.46445902385824 |
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 |
17355k1 |
Quadratic twists by: -3 |