Atkin-Lehner |
5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885d |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
876365 = 5 · 74 · 73 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ -6 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-751,7676] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:101:1] [6:58:1] |
Generators of the group modulo torsion |
j |
19535724544/365 |
j-invariant |
L |
3.9878038920625 |
L(r)(E,1)/r! |
Ω |
2.5827039671406 |
Real period |
R |
4.6321265729262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89425a1 17885l1 |
Quadratic twists by: 5 -7 |