Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950cr |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1146521628000000 = -1 · 28 · 38 · 56 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13387,1517217] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-1361:1] |
Generators of the group modulo torsion |
j |
16980538103927/73377384192 |
j-invariant |
L |
12.134952522769 |
L(r)(E,1)/r! |
Ω |
0.34921558479074 |
Real period |
R |
0.54295581698536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3318a1 |
Quadratic twists by: 5 |