Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748p |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-852160176 = -1 · 24 · 37 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317,2484] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:57:1] [-5:-63:1] |
Generators of the group modulo torsion |
j |
-643956736/155277 |
j-invariant |
L |
9.2058341498408 |
L(r)(E,1)/r! |
Ω |
1.5086860097069 |
Real period |
R |
0.1452830648438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244bb1 41748f1 |
Quadratic twists by: -3 -7 |