Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1342d |
Isogeny class |
Conductor |
1342 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
1342 = 2 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3 0 2 11- -1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15,25] |
[a1,a2,a3,a4,a6] |
j |
350402625/1342 |
j-invariant |
L |
4.8410878692087 |
L(r)(E,1)/r! |
Ω |
4.8410878692087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10736g1 42944b1 12078h1 33550k1 |
Quadratic twists by: -4 8 -3 5 |