Atkin-Lehner |
3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
429b |
Isogeny class |
Conductor |
429 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1656369 = 34 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-429,3384] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:89:1] |
Generators of the group modulo torsion |
j |
8732907467857/1656369 |
j-invariant |
L |
1.3666547477462 |
L(r)(E,1)/r! |
Ω |
2.5841361086058 |
Real period |
R |
2.1154531964395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
6864r2 27456p2 1287e2 10725a2 |
Quadratic twists by: -4 8 -3 5 |