Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200bd |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10976000000000 = -1 · 214 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 1 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,159037] |
[a1,a2,a3,a4,a6] |
j |
1024/343 |
j-invariant |
L |
1.1160073029197 |
L(r)(E,1)/r! |
Ω |
0.55800365145983 |
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 |
11200dd1 1400l1 100800gf1 11200bn1 |
Quadratic twists by: -4 8 -3 5 |