Atkin-Lehner |
3- 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40455q |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
46504716553125 = 39 · 55 · 293 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 2 -3 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9237,95440] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:652:1] |
Generators of the group modulo torsion |
j |
119560855711744/63792478125 |
j-invariant |
L |
2.9461338989816 |
L(r)(E,1)/r! |
Ω |
0.55822490957582 |
Real period |
R |
0.17592275374084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13485a1 |
Quadratic twists by: -3 |