Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5576d |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608 |
Modular degree for the optimal curve |
Δ |
11152 = 24 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -2 3 4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124,-575] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1:8] |
Generators of the group modulo torsion |
j |
13285149952/697 |
j-invariant |
L |
4.4094452699558 |
L(r)(E,1)/r! |
Ω |
1.42972999174 |
Real period |
R |
1.5420552465958 |
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 |
11152h1 44608t1 50184v1 94792d1 |
Quadratic twists by: -4 8 -3 17 |