Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1342c |
Isogeny class |
Conductor |
1342 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
1342 = 2 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 -4 -2 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117257250,-488766109679] |
[a1,a2,a3,a4,a6] |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
1.1469768097892 |
L(r)(E,1)/r! |
Ω |
0.045879072391568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10736f3 42944a3 12078j3 33550e3 |
Quadratic twists by: -4 8 -3 5 |