Atkin-Lehner |
2- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5576i |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
931426192 = 24 · 175 · 41 |
Discriminant |
Eigenvalues |
2- 1 -2 -5 -4 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464,-3715] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:17:1] [-10:5:1] |
Generators of the group modulo torsion |
j |
691979636992/58214137 |
j-invariant |
L |
4.6500142407882 |
L(r)(E,1)/r! |
Ω |
1.0339780399463 |
Real period |
R |
0.44972079300919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11152i1 44608u1 50184h1 94792s1 |
Quadratic twists by: -4 8 -3 17 |