Atkin-Lehner |
2- 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bn |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1926596700000000 = -1 · 28 · 32 · 58 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29662,-757969] |
[a1,a2,a3,a4,a6] |
j |
184715807453351/123302188800 |
j-invariant |
L |
4.2542501535554 |
L(r)(E,1)/r! |
Ω |
0.26589063593625 |
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 |
16590i1 |
Quadratic twists by: 5 |