Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600ci |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-11000000 = -1 · 26 · 56 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283,1937] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
4.6250159681431 |
L(r)(E,1)/r! |
Ω |
2.2854062211284 |
Real period |
R |
2.0237172391434 |
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 |
17600bq1 8800p1 704j1 |
Quadratic twists by: -4 8 5 |