Atkin-Lehner |
3- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845g |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
403920 |
Modular degree for the optimal curve |
Δ |
31554455117704245 = 36 · 5 · 179 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 0 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-581628,-170518406] |
[a1,a2,a3,a4,a6] |
Generators |
[-93594:83413:216] |
Generators of the group modulo torsion |
j |
29849159085774340096/43284574921405 |
j-invariant |
L |
3.8844638646664 |
L(r)(E,1)/r! |
Ω |
0.17289245832845 |
Real period |
R |
2.4963905322927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6205c1 |
Quadratic twists by: -3 |