Atkin-Lehner |
2- 3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
82416h |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
1280175043903488 = 217 · 39 · 173 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38408,-2317584] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:544:1] |
Generators of the group modulo torsion |
j |
1529819352015625/312542735328 |
j-invariant |
L |
4.1912366692466 |
L(r)(E,1)/r! |
Ω |
0.34592400587616 |
Real period |
R |
1.0096718252506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302c1 |
Quadratic twists by: -4 |