Atkin-Lehner |
3- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65331l |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-119018121201 = -1 · 39 · 73 · 172 · 61 |
Discriminant |
Eigenvalues |
1 3- 1 7+ 0 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8289,293026] |
[a1,a2,a3,a4,a6] |
Generators |
[86:416:1] |
Generators of the group modulo torsion |
j |
-86403647021329/163262169 |
j-invariant |
L |
7.2666319613364 |
L(r)(E,1)/r! |
Ω |
1.0494875189735 |
Real period |
R |
0.86549766308902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21777b1 |
Quadratic twists by: -3 |