Atkin-Lehner |
2- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55216m |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-1766941154048 = -1 · 28 · 77 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -4 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1429,-66775] |
[a1,a2,a3,a4,a6] |
j |
-1261491453952/6902113883 |
j-invariant |
L |
1.395682930375 |
L(r)(E,1)/r! |
Ω |
0.34892073234666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804e1 |
Quadratic twists by: -4 |