Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1326d |
Isogeny class |
Conductor |
1326 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6310317312 = 28 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17778,904959] |
[a1,a2,a3,a4,a6] |
Generators |
[81:27:1] |
Generators of the group modulo torsion |
j |
621403856941038625/6310317312 |
j-invariant |
L |
3.1725115665398 |
L(r)(E,1)/r! |
Ω |
1.2111333343289 |
Real period |
R |
0.32743211220192 |
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 |
10608v2 42432bf2 3978a2 33150s2 |
Quadratic twists by: -4 8 -3 5 |