Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742ck |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-11292339762 = -1 · 2 · 36 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,556,-935] |
[a1,a2,a3,a4,a6] |
Generators |
[1460:8995:64] |
Generators of the group modulo torsion |
j |
49373847/29282 |
j-invariant |
L |
13.814719995866 |
L(r)(E,1)/r! |
Ω |
0.74650395878023 |
Real period |
R |
4.6264724435016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638f1 104742bu1 |
Quadratic twists by: -3 -23 |