Atkin-Lehner |
2- 3- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8058b |
Isogeny class |
Conductor |
8058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-35245692 = -1 · 22 · 38 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 0 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26,288] |
[a1,a2,a3,a4,a6] |
j |
-1948441249/35245692 |
j-invariant |
L |
6.9560734263324 |
L(r)(E,1)/r! |
Ω |
1.7390183565831 |
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 |
64464e1 24174h1 |
Quadratic twists by: -4 -3 |