Atkin-Lehner |
2+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320k |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-21580000000 = -1 · 28 · 57 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 -2 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,580,4400] |
[a1,a2,a3,a4,a6] |
Generators |
[40:300:1] |
Generators of the group modulo torsion |
j |
84143142704/84296875 |
j-invariant |
L |
11.656318158609 |
L(r)(E,1)/r! |
Ω |
0.79668087076676 |
Real period |
R |
1.0450786305463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43160m1 |
Quadratic twists by: -4 |