Atkin-Lehner |
2- 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100912j |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
10889468816128 = 28 · 75 · 17 · 533 |
Discriminant |
Eigenvalues |
2- -1 2 7+ -3 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12892,-536308] |
[a1,a2,a3,a4,a6] |
j |
925717180715728/42536987563 |
j-invariant |
L |
1.797258015017 |
L(r)(E,1)/r! |
Ω |
0.44931453157569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25228h1 |
Quadratic twists by: -4 |