Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936q |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
826880 |
Modular degree for the optimal curve |
Δ |
-407971106559995904 = -1 · 212 · 319 · 17 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-778469,-265889523] |
[a1,a2,a3,a4,a6] |
j |
-12737620064548237312/99602320937499 |
j-invariant |
L |
4.0163026198603 |
L(r)(E,1)/r! |
Ω |
0.080326052352592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3621b1 |
Quadratic twists by: -4 |