Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200cj |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-875000000 = -1 · 26 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1883,30863] |
[a1,a2,a3,a4,a6] |
Generators |
[38:125:1] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
5.4414167846964 |
L(r)(E,1)/r! |
Ω |
1.5739786806255 |
Real period |
R |
1.7285547929194 |
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 |
11200by1 5600r1 100800nc1 2240x1 |
Quadratic twists by: -4 8 -3 5 |