Atkin-Lehner |
2- 3- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
28386g |
Isogeny class |
Conductor |
28386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
294306048 = 28 · 36 · 19 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-344,2395] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:65:1] |
Generators of the group modulo torsion |
j |
6158676537/403712 |
j-invariant |
L |
9.3857678417333 |
L(r)(E,1)/r! |
Ω |
1.6978774626735 |
Real period |
R |
1.3819854565586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3154b1 |
Quadratic twists by: -3 |