Atkin-Lehner |
3- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
40545k |
Isogeny class |
Conductor |
40545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
277099734375 = 39 · 56 · 17 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- -1 0 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9279,-340790] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:52:1] |
Generators of the group modulo torsion |
j |
121206534717169/380109375 |
j-invariant |
L |
6.9212560367326 |
L(r)(E,1)/r! |
Ω |
0.48652364060091 |
Real period |
R |
1.1854949857765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13515a1 |
Quadratic twists by: -3 |