Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11040o |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-2173003200 = -1 · 26 · 310 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30,-2232] |
[a1,a2,a3,a4,a6] |
Generators |
[21:90:1] |
Generators of the group modulo torsion |
j |
45118016/33953175 |
j-invariant |
L |
5.8467338504745 |
L(r)(E,1)/r! |
Ω |
0.68319508928811 |
Real period |
R |
0.8557927218954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11040c1 22080i1 33120h1 55200c1 |
Quadratic twists by: -4 8 -3 5 |