Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600c |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-11000000 = -1 · 26 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 11+ -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,163] |
[a1,a2,a3,a4,a6] |
Generators |
[42:277:1] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
6.5160622776689 |
L(r)(E,1)/r! |
Ω |
1.7014567732554 |
Real period |
R |
3.8296960464072 |
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 |
17600p1 8800f1 704b1 |
Quadratic twists by: -4 8 5 |