Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11492d |
Isogeny class |
Conductor |
11492 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-162542848 = -1 · 28 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -2 -2 0 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4,612] |
[a1,a2,a3,a4,a6] |
Generators |
[4:26:1] [16:70:1] |
Generators of the group modulo torsion |
j |
-16/289 |
j-invariant |
L |
4.2086845121559 |
L(r)(E,1)/r! |
Ω |
1.4519970619732 |
Real period |
R |
0.96618297249068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968x2 103428ba2 11492c2 |
Quadratic twists by: -4 -3 13 |