Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200p |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-11468800000000 = -1 · 222 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3700,-138000] |
[a1,a2,a3,a4,a6] |
j |
1367631/2800 |
j-invariant |
L |
0.74649001346379 |
L(r)(E,1)/r! |
Ω |
0.37324500673189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11200bu1 350a1 100800fn1 2240f1 |
Quadratic twists by: -4 8 -3 5 |