Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600cd |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-11000000 = -1 · 26 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-187] |
[a1,a2,a3,a4,a6] |
Generators |
[1580:4961:125] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
5.5878920895244 |
L(r)(E,1)/r! |
Ω |
0.9226366396054 |
Real period |
R |
6.0564385259122 |
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 |
17600e1 4400m1 704k1 |
Quadratic twists by: -4 8 5 |