Atkin-Lehner |
2+ 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21216c |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-953192448 = -1 · 212 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,1521] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:28:1] [0:39:1] |
Generators of the group modulo torsion |
j |
-7529536/232713 |
j-invariant |
L |
4.7446271674966 |
L(r)(E,1)/r! |
Ω |
1.3089938923848 |
Real period |
R |
0.90615914923288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216o2 42432q1 63648x2 |
Quadratic twists by: -4 8 -3 |