Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5576c |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
11152 = 24 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -3 -4 -1 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
2370816/697 |
j-invariant |
L |
2.7365732280169 |
L(r)(E,1)/r! |
Ω |
3.001391294446 |
Real period |
R |
0.45588411499051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11152e1 44608p1 50184z1 94792l1 |
Quadratic twists by: -4 8 -3 17 |