Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200cz |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2800000000 = -1 · 210 · 58 · 7 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,2463] |
[a1,a2,a3,a4,a6] |
Generators |
[2:53:1] |
Generators of the group modulo torsion |
j |
1280/7 |
j-invariant |
L |
3.2002722803781 |
L(r)(E,1)/r! |
Ω |
1.0338672864774 |
Real period |
R |
3.0954381884759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200br1 2800ba1 100800oy1 11200cp1 |
Quadratic twists by: -4 8 -3 5 |