Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200r |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1715000000 = -1 · 26 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 1 3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-383,-3637] |
[a1,a2,a3,a4,a6] |
j |
-6229504/1715 |
j-invariant |
L |
3.1911832994881 |
L(r)(E,1)/r! |
Ω |
0.53186388324802 |
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 |
11200f1 5600s1 100800es1 2240h1 |
Quadratic twists by: -4 8 -3 5 |