Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200cb |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-448000000 = -1 · 212 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,537] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
2.172508471637 |
L(r)(E,1)/r! |
Ω |
1.0862542358185 |
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 |
11200cr1 5600p1 100800ly1 448g1 |
Quadratic twists by: -4 8 -3 5 |