Atkin-Lehner |
3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58089b |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-43664862321 = -1 · 33 · 176 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 1 5 4 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,10118] |
[a1,a2,a3,a4,a6] |
j |
-117649/1809 |
j-invariant |
L |
1.9272266338993 |
L(r)(E,1)/r! |
Ω |
0.96361331752067 |
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 |
201b1 |
Quadratic twists by: 17 |